Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
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    - MATHEMATICS (714 journals)
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    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 13)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 43)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 3)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 7)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 16)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access  
Advances in Geosciences (ADGEO)     Open Access   (Followers: 20)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 6)
Advances in Materials Science     Open Access   (Followers: 21)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 18)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal  
Advances in Pure Mathematics     Open Access   (Followers: 10)
Advances in Science and Research (ASR)     Open Access   (Followers: 9)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 8)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 2)
Air, Soil & Water Research     Open Access   (Followers: 6)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 3)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 4)
Algebra and Logic     Hybrid Journal   (Followers: 9)
Algebra Colloquium     Hybrid Journal   (Followers: 3)
Algebra Universalis     Hybrid Journal   (Followers: 3)
Algorithmic Operations Research     Open Access   (Followers: 6)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access   (Followers: 1)
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 6)
American Mathematical Monthly     Full-text available via subscription   (Followers: 3)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 12)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 7)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 3)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 15)
Annals of Functional Analysis     Hybrid Journal   (Followers: 2)
Annals of Mathematics     Full-text available via subscription   (Followers: 5)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 5)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access   (Followers: 1)
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 5)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 7)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 4)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 1)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 21)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal  
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access  
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription  
British Journal for the History of Mathematics     Hybrid Journal   (Followers: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 18)
British Journal of Mathematics & Computer Science     Full-text available via subscription   (Followers: 1)
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 2)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 3)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 4)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access  
Calculus of Variations and Partial Differential Equations     Hybrid Journal   (Followers: 1)
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access  
Catalysis in Industry     Hybrid Journal  
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 5)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 1)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access  
CODEE Journal     Open Access  
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 5)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 20)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 3)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 6)
Complex Analysis and its Synergies     Open Access   (Followers: 1)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Compositio Mathematica     Full-text available via subscription   (Followers: 2)
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 5)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 11)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 10)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access  
Contributions to Discrete Mathematics     Open Access  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cross Section     Full-text available via subscription   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 11)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal  
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access  
Demographic Research     Open Access   (Followers: 14)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access  
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal   (Followers: 3)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access   (Followers: 1)
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Doklady Akademii Nauk     Open Access  

        1 2 3 4 | Last

Similar Journals
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Collectanea Mathematica
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0010-075 - ISSN (Online) 2038-4815
Published by Springer-Verlag Homepage  [2467 journals]
  • Disjoint strong transitivity of composition operators

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      Abstract: Abstract A Furstenberg family \(\mathcal {F}\) is a collection of infinite subsets of the set of positive integers such that if \(A\subset B\) and \(A\in \mathcal {F}\) , then \(B\in \mathcal {F}\) . For a Furstenberg family \(\mathcal {F}\) , finitely many operators \(T_1,...,T_N\) acting on a common topological vector space X are said to be disjoint \(\mathcal {F}\) -transitive if for every non-empty open subsets \(U_0,...,U_N\) of X the set \(\{n\in \mathbb {N}:\ U_0 \cap T_1^{-n}(U_1)\cap ...\cap T_N^{-n}(U_N)\ne \emptyset \}\) belongs to \(\mathcal {F}\) . In this paper, depending on the topological properties of \(\Omega\) , we characterize the disjoint \(\mathcal {F}\) -transitivity of \(N\ge 2\) composition operators \(C_{\phi _1},\ldots ,C_{\phi _N}\) acting on the space \(H(\Omega )\) of holomorphic maps on a domain \(\Omega \subset \mathbb {C}\) by establishing a necessary and sufficient condition in terms of their symbols \(\phi _1,...,\phi _N\) .
      PubDate: 2022-11-23
       
  • Multi-Rees algebras of strongly stable ideals

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      Abstract: Abstract We prove that the multi-Rees algebra \({\mathcal {R}}(I_1 \oplus \cdots \oplus I_r)\) of a collection of strongly stable ideals \(I_1, \ldots , I_r\) is of fiber type. In particular, we provide a Gröbner basis for its defining ideal as a union of a Gröbner basis for its special fiber and binomial syzygies. We also study the Koszulness of \({\mathcal {R}}(I_1 \oplus \cdots \oplus I_r)\) based on parameters associated to the collection. Furthermore, we establish a quadratic Gröbner basis of the defining ideal of \({\mathcal {R}}(I_1 \oplus I_2)\) where each of the strongly stable ideals has two quadric Borel generators. As a consequence, we conclude that this multi-Rees algebra is Koszul.
      PubDate: 2022-11-22
       
  • Lefschetz properties for jacobian rings of cubic fourfolds and other
           Artinian algebras

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      Abstract: Abstract In this paper, we exploit some geometric-differential techniques to prove the strong Lefschetz property in degree 1 for a complete intersection standard Artinian Gorenstein algebra of codimension 6 presented by quadrics. We prove also some strong Lefschetz properties for the same kind of Artinian algebras in higher codimensions. Moreover, we analyze some loci that come naturally into the picture of “special” Artinian algebras: for them we give some geometric descriptions and show a connection between the non emptiness of the so-called non-Lefschetz locus in degree 1 and the “lifting” of a weak Lefschetz property to an algebra from one of its quotients.
      PubDate: 2022-11-19
       
  • The moduli space of quasistable spin curves

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      Abstract: Abstract We study a compactification of the moduli space of theta characteristics, giving a modular interpretation of the geometric points and describing the boundary stratification. This space is different from the moduli space of spin curves. The modular description and the boundary stratification of the new compactification are encoded by a tropical moduli space. We show that this tropical moduli space is a refinement of the moduli space of spin tropical curves. We describe explicitly the induced decomposition of its cones.
      PubDate: 2022-11-18
       
  • Spacelike mean curvature flow solitons, polynomial volume growth and
           stochastic completeness of spacelike hypersurfaces immersed into pp-vave
           spacetimes

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      Abstract: Abstract Our purpose in this paper is to study some geometric properties of spacelike hypersurfaces immersed into a pp-wave spacetime, namely, a connected Lorentzian manifold admitting a parallel lightlike vector field. Initially, by applying a new form of maximum principle for smooth functions on a complete noncompact Riemannian manifold, we obtain sufficient conditions which guarantee that a complete noncompact spacelike hypersurface with polynomial volume growth is either totally geodesic, maximal or 1-maximal. As a consequence, we establish nonexistence results concerning such spacelike hypersurfaces. Next, using a weak form of the Omori–Yau maximum principle, we get uniqueness and nonexistence results for stochastically complete spacelike hypersurface with constant mean curvature. Finally, we establish the notion of spacelike mean curvature flow soliton in pp-wave spacetimes and we provide some geometric conditions that allow us to guarantee how close a complete spacelike mean curvature flow soliton is to a totally geodesic immersion.
      PubDate: 2022-11-15
       
  • Correction to: Capacity and stability on some Cegrell classes of
           m − subharmonic functions

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      PubDate: 2022-11-02
       
  • On weighted compactness of commutators of square function and semi-group
           maximal function associated to Schrödinger operators

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      Abstract: Abstract Let \(\Delta\) be the Laplacian operator on \({\mathbb{R}}^n\) and V be a nonnegative potential satisfying an appropriate reverse Hölder inequality. The Littlewood–Paley square function g associated with the Schrödinger operator \(L=-\Delta +V\) is defined by: $$\begin{aligned} g(f)(x)=\Big (\int _{0}^{\infty }\Big \frac{d}{dt}e^{-tL}(f)(x)\Big ^2tdt\Big )^{1/2}. \end{aligned}$$ In this paper, we show that the commutators of g are compact operators on \(L^p(w)\) for \(1<p<\infty\) if \(b\in {\rm{CMO}}_\uptheta (\uprho )\) and \(w\in A_p^{\uprho ,\uptheta }\) , where \({\rm{CMO}}_\uptheta (\uprho ) ({\mathbb{R}}^n)\) denotes the closure of \(\mathcal{C}_c^\infty ({\mathbb{R}}^n)\) in the \(\mathrm{BMO}_\uptheta (\uprho )\) topology and \(A_p^{\uprho ,\uptheta }\) is a weighted class which is more larger than Muckenhoupt \(A_p\) weight class. An extra weight condition in a previous weighted compactness result is removed for the commutators of the semi-group maximal function defined by \(\mathcal{T}^*(f)(x)=\sup _{t>0} e^{-tL}f(x) .\)
      PubDate: 2022-11-01
       
  • The symmetrization map and $$\Gamma$$ -contractions

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      Abstract: Abstract The symmetrization map \(\pi :{\mathbb{C}}^2\rightarrow {\mathbb{C}}^2\) is defined by \(\pi (z_1,z_2)=(z_1+z_2,z_1z_2).\) The closed symmetrized bidisc \(\Gamma\) is the symmetrization of the closed unit bidisc \(\overline{{\mathbb{D}}^2}\) , that is, $$\begin{aligned} \Gamma = \pi (\overline{{\mathbb{D}}^2})=\{ (z_1+z_2,z_1z_2)\,:\, z_i \le 1, i=1,2 \}. \end{aligned}$$ A pair of commuting Hilbert space operators (S, P) for which \(\Gamma\) is a spectral set is called a \(\Gamma\) -contraction. Unlike the scalars in \(\Gamma\) , a \(\Gamma\) -contraction may not arise as a symmetrization of a pair of commuting contractions, even not as a symmetrization of a pair of commuting bounded operators. We characterize all \(\Gamma\) -contractions which are symmetrization of pairs of commuting contractions. We show by constructing a family of examples that even if a \(\Gamma\) -contraction \((S,P)=(T_1+T_2,T_1T_2)\) for a pair of commuting bounded operators \(T_1,T_2\) , no real number less than 2 can be a bound for the set \(\{ \Vert T_1\Vert ,\Vert T_2\Vert \}\) in general. Then we prove that every \(\Gamma\) -contraction (S, P) is the restriction of a \(\Gamma\) -contraction \(({{\widetilde{S}}}, {{\widetilde{P}}})\) to a common reducing subspace of \({{\widetilde{S}}}, {{\widetilde{P}}}\) and that \(({{\widetilde{S}}}, {{\widetilde{P}}})=(A_1+A_2,A_1A_2)\) for a pair of commuting operators \(A_1,A_2\) with \(\max \{\Vert A_1\Vert , \Vert A_2\Vert \} \le 2\) . We find new characterizations for the \(\Gamma\) -unitaries and describe the distinguished boundary of \(\Gamma\) in a different way. We also show some interplay between the fundamental operators of two \(\Gamma\) -contractions (S, P) and \((S_1,P)\) .
      PubDate: 2022-10-25
       
  • Morse index bounds for minimal submanifolds

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      Abstract: Abstract In this paper, we study the Morse index of closed minimal submanifolds immersed into general Riemannian manifolds. Using the strategy developed by Ambrozio et al. (J Differ Geom 108(3):379–410, 2018) and under a suitable constrain on the submanifold, we obtain that the Morse index of the submanifold is bounded from below by a linear function of its first Betti’s number, as conjectured by Schoen and Marques-Neves. We also present many Riemannian manifolds and a sufficient condition to get the cited linear lower bound.
      PubDate: 2022-10-21
       
  • Some remarks on the geometry of the tautological model

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      Abstract: Abstract S. Brivio has established a linkage between the \(\Theta\) divisor of a vector bundle E, over a smooth complex curve, and the geometry of the tautological model of E. In this paper we slightly generalize her results by considering other values for the rank and the degree of E.
      PubDate: 2022-10-05
       
  • A note on the BMO and Calderón–Zygmund estimate

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      Abstract: Abstract In this note, we give a simple proof of the pointwise BMO estimate for Poisson’s equation. Then the Calderón–Zygmund estimate follows by the interpolation and duality.
      PubDate: 2022-09-19
       
  • Correction to: Characteristic polyhedra of singularities without
           completion: part II

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      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00326-5
       
  • Sparse domination results for compactness on weighted spaces

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      Abstract: Abstract By means of appropriate sparse bounds, we deduce compactness on weighted \(L^p(w)\) spaces, \(1<p<\infty\) , for all Calderón–Zygmund operators having compact extensions on \(L^2({\mathbb {R}}^n)\) . Similar methods lead to new results on boundedness and compactness of Haar multipliers on weighted spaces. In particular, we prove weighted bounds for weights in a class strictly larger than the typical \(A_p\) class.
      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00333-6
       
  • Smooth determinantal varieties and critical loci in multiview geometry

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      Abstract: Abstract Linear projections from \(\mathbb {P}^k\) to \(\mathbb {P}^h\) appear in computer vision as models of images of dynamic or segmented scenes. Given multiple projections of the same scene, the identification of sufficiently many correspondences between the images allows, in principle, to reconstruct the position of the projected objects. A critical locus for the reconstruction problem is a variety in \(\mathbb {P}^k\) containing the set of points for which the reconstruction fails. Critical loci turn out to be determinantal varieties. In this paper we determine and classify all the smooth critical loci, showing that they are classical projective varieties.
      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00329-2
       
  • Monomial ideals and the failure of the Strong Lefschetz property

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      Abstract: Abstract We give a sharp lower bound for the Hilbert function in degree d of artinian quotients \(\Bbbk [x_1,\ldots ,x_n]/I\) failing the Strong Lefschetz property, where I is a monomial ideal generated in degree \(d \ge 2\) . We also provide sharp lower bounds for other classes of ideals, and connect our result to the classification of the Hilbert functions forcing the Strong Lefschetz property by Zanello and Zylinski.
      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00324-7
       
  • A new concept of smoothness in Orlicz spaces

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      Abstract: Abstract In a 2015 article Cuenya and Ferreyra defined a class of functions in \(L^p\) -spaces, denoted by \(c_n^p(x)\) . The class \(c_n^p(x)\) contains the class of \(L^p\) -differentiability functions, denoted by \(t_n^p(x)\) , introduced in a 1961 article by Calderón-Zygmund. A more recent paper by Acinas, Favier and Zó introduced a new class of functions in Orlicz spaces \(L^\Phi\) , called \(L^\Phi\) -differentiable functions in the present article. The class of \(L^\Phi\) -differentiable functions is closely related to the class \(t_n^p(x)\) . In this work, we define a class of functions in \(L^\Phi\) , denoted by \(c_n^{\Phi }(x)\) . The class \(c_n^{\Phi }(x)\) is more general than the class of \(L^{\varPhi}\) -differentiable functions. We prove the existence of the best local \(\Phi\) -approximation for functions in \(c_n^{\varPhi }(x)\) and study the convexity of the set of cluster points of the set of best \(\Phi\) -approximations to a function on an interval when their measures tend to zero.
      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00331-8
       
  • A generalized Grobman–Hartman theorem for nonautonomous dynamics

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      Abstract: Abstract The purpose of this note is to extend the recent generalized version of the Grobman–Hartman theorem established by Bernardes Jr. and Messaoudi from an autonomous to nonautonomous dynamics. More precisely, we prove that any sufficiently small perturbation of a nonautonomous linear dynamics that admits a generalized exponential dichotomy is topologically conjugated to its linear part. In addition, we prove that under certain mild additional conditions, the conjugacy is in fact Hölder continuous.
      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00327-4
       
  • Structure of the Lipschitz free p-spaces
           $${\mathcal{F}}_p({\mathbb{Z}}^d)$$ F p ( Z d ) and
           $${\mathcal{F}}_p({\mathbb{R}}^d)$$ F p ( R d ) for $$0       p ≤ 1

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      Abstract: Abstract Our aim in this article is to contribute to the theory of Lipschitz free p-spaces for \(0<p\le 1\) over the Euclidean spaces \({\mathbb{R}}^d\) and \({\mathbb{Z}}^d\) . To that end, we show that \({\mathcal{F}}_p({\mathbb{R}}^d)\) admits a Schauder basis for every \(p\in (0,1]\) , thus generalizing the corresponding result for the case \(p=1\) by Hájek and Pernecká (J Math Anal Appl 416(2):629–646, 2014, Theorem 3.1) and answering in the positive a question that was raised by Albiac et al. in (J Funct Anal 278(4):108354, 2020). Explicit formulas for the bases of \({\mathcal{F}}_p({\mathbb{R}}^d)\) and its isomorphic space \({\mathcal{F}}_p([0,1]^d)\) are given. We also show that the well-known fact that \({\mathcal{F}}({\mathbb{Z}})\) is isomorphic to \(\ell _{1}\) does not extend to the case when \(p<1\) , that is, \({\mathcal{F}}_{p}({\mathbb{Z}})\) is not isomorphic to \(\ell _{p}\) when \(0<p<1\) .
      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00322-9
       
  • Jacobian syzygies, Fitting ideals, and plane curves with maximal global
           Tjurina numbers

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      Abstract: Abstract First we give a sharp upper bound for the cardinal m of a minimal set of generators for the module of Jacobian syzygies of a complex projective reduced plane curve C. Next we discuss the sharpness of an upper bound, given by A. du Plessis and C.T.C. Wall, for the global Tjurina number of such a curve C, in terms of its degree d and of the minimal degree \(r\le d-1\) of a Jacobian syzygy. We give a homological characterization of the curves whose global Tjurina number equals the du Plessis-Wall upper bound, which implies in particular that for such curves the upper bound for m is also attained. A second characterization of these curves in terms of the 0-th Fitting ideal of their Jacobian module is also given. Finally we prove the existence of curves with maximal global Tjurina numbers for certain pairs (d, r). We conjecture that such curves exist for any pair (d, r), and that, in addition, they may be chosen to be line arrangements when \(r\le d-2\) . This conjecture is proved for degrees \(d \le 11\) .
      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00325-6
       
  • On the Davis-Wielandt shell of an operator and the Davis-Wielandt index of
           a normed linear space

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      Abstract: Abstract We study the Davis-Wielandt shell and the Davis-Wielandt radius of an operator on a normed linear space \(\mathcal {X}\) . We show that after a suitable modification, the modified Davis-Wielandt radius defines a norm on \(\mathcal {L}(\mathcal {X})\) which is equivalent to the usual operator norm on \(\mathcal {L}(\mathcal {X})\) . We introduce the Davis-Wielandt index of a normed linear space and compute its value explicitly in case of some particular polyhedral Banach spaces. We also present a general method to estimate the Davis-Wielandt index of any polyhedral finite-dimensional Banach space.
      PubDate: 2022-09-01
      DOI: 10.1007/s13348-021-00332-7
       
 
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