Subjects -> MATHEMATICS (Total: 1118 journals)     - APPLIED MATHEMATICS (92 journals)    - GEOMETRY AND TOPOLOGY (23 journals)    - MATHEMATICS (819 journals)    - MATHEMATICS (GENERAL) (45 journals)    - NUMERICAL ANALYSIS (26 journals)    - PROBABILITIES AND MATH STATISTICS (113 journals) MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

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 Canadian Mathematical BulletinNumber of Followers: 0      Hybrid journal (It can contain Open Access articles) ISSN (Print) 0008-4395 - ISSN (Online) 1496-4287 Published by Cambridge University Press  [400 journals]
• BCM volume 64 issue 2 Cover and Front matter

Pages: 1 - 2
PubDate: 2021-06-16
DOI: 10.4153/S0008439521000369

• BCM volume 64 issue 2 Cover and Back matter

Pages: 1 - 2
PubDate: 2021-06-16
DOI: 10.4153/S0008439521000370

• Faltings extension and Hodge-Tate filtration for abelian varieties over
p-adic local fields with imperfect residue fields

Authors: He; Tongmu
Pages: 247 - 263
Abstract: Let K be a complete discrete valuation field of characteristic , with not necessarily perfect residue field of characteristic . We define a Faltings extension of over , and we construct a Hodge-Tate filtration for abelian varieties over K by generalizing Fontaine’s construction [Fon82] where he treated the perfect residue field case.
PubDate: 2020-06-11
DOI: 10.4153/S0008439520000399

• Growth of frequently hypercyclic functions for some weighted Taylor shifts
on the unit disc

Authors: Mouze; Augustin, Munnier, Vincent
Pages: 264 - 281
Abstract: For any we consider the weighted Taylor shift operators acting on the space of analytic functions in the unit disc given by We establish the optimal growth of frequently hypercyclic functions for in terms of averages, . This allows us to highlight a critical exponent.
PubDate: 2020-06-11
DOI: 10.4153/S0008439520000430

• On Pisier’s inequality for UMD targets

Authors: Eskenazis; Alexandros
Pages: 282 - 291
Abstract: We prove an extension of Pisier’s inequality (1986) with a dimension-independent constant for vector-valued functions whose target spaces satisfy a relaxation of the UMD property.
PubDate: 2020-06-15
DOI: 10.4153/S0008439520000442

• Relative vertex asphericity

Authors: Harlander; Jens, Rosebrock, Stephan
Pages: 292 - 305
Abstract: Diagrammatic reducibility DR and its generalization, vertex asphericity VA, are combinatorial tools developed for detecting asphericity of a 2-complex. Here we present tests for a relative version of VA that apply to pairs of 2-complexes , where K is a subcomplex of L. We show that a relative weight test holds for injective labeled oriented trees, implying that they are VA and hence aspherical. This strengthens a result obtained by the authors in 2017 and simplifies the original proof.
PubDate: 2020-06-16
DOI: 10.4153/S0008439520000454

• Positive definite functions and cut-off for discrete groups

Authors: Freslon; Amaury
Pages: 306 - 322
Abstract: We consider the sequence of powers of a positive definite function on a discrete group. Taking inspiration from random walks on compact quantum groups, we give several examples of situations where a cut-off phenomenon occurs for this sequence, including free groups and infinite Coxeter groups. We also give examples of absence of cut-off using free groups again.
PubDate: 2020-06-22
DOI: 10.4153/S0008439520000466

• Injective modules over the Jacobson algebra $K\langle X, Y \ \ XY=1\rangle$

Authors: Abrams; Gene, Mantese, Francesca, Tonolo, Alberto
Pages: 323 - 339
Abstract: For a field K, let denote the Jacobson algebra . We give an explicit construction of the injective envelope of each of the (infinitely many) simple left -modules. Consequently, we obtain an explicit description of a minimal injective cogenerator for . Our approach involves realizing up to isomorphism as the Leavitt path K-algebra of an appropriate graph , which thereby allows us to utilize important machinery developed for that class of algebras.
PubDate: 2020-06-22
DOI: 10.4153/S0008439520000478

• Continuity of condenser capacity under holomorphic motions

Authors: Pouliasis; Stamatis
Pages: 340 - 348
Abstract: We show that condenser capacity varies continuously under holomorphic motions, and the corresponding family of the equilibrium measures of the condensers is continuous with respect to the weak-star convergence. We also study the behavior of uniformly perfect sets under holomorphic motions.
PubDate: 2020-06-29
DOI: 10.4153/S000843952000048X

• Deligne–Lusztig varieties and basic EKOR strata

Authors: Wang; Haining
Pages: 349 - 367
Abstract: Using the axioms of He and Rapoport for the stratifications of Shimura varieties, we explain a result of Görtz, He, and Nie that the EKOR strata contained in the basic loci can be described as a disjoint union of Deligne–Lusztig varieties. In the special case of Siegel modular varieties, we compare their descriptions to that of Görtz and Yu for the supersingular Kottwitz-Rapoport strata and to the descriptions of Harashita and Hoeve for the supersingular Ekedahl–Oort strata.
PubDate: 2020-06-29
DOI: 10.4153/S0008439520000491

• Explicit symmetric DGLA models of 3-cells

Authors: Griniasty; Itay, Lawrence, Ruth
Pages: 368 - 382
Abstract: We give explicit formulae for differential graded Lie algebra (DGLA) models of -cells. In particular, for a cube and an -faceted banana-shaped -cell with two vertices, edges each joining those two vertices, and bi-gon -cells, we construct a model symmetric under the geometric symmetries of the cell fixing two antipodal vertices. The cube model is to be used in forthcoming work for discrete analogues of differential geometry on cubulated manifolds.
PubDate: 2020-07-01
DOI: 10.4153/S0008439520000508

• Almost Gorenstein rings arising from fiber products

Authors: Endo; Naoki, Goto, Shiro, Isobe, Ryotaro
Pages: 383 - 400
Abstract: The purpose of this paper is, as part of the stratification of Cohen–Macaulay rings, to investigate the question of when the fiber products are almost Gorenstein rings. We show that the fiber product of Cohen–Macaulay local rings R, S of the same dimension over a regular local ring T with is an almost Gorenstein ring if and only if so are R and S. In addition, the other generalizations of Gorenstein properties are also explored.
PubDate: 2020-07-10
DOI: 10.4153/S000843952000051X

• A question for iterated Galois groups in arithmetic dynamics

Authors: Bridy; Andrew, Doyle, John R., Ghioca, Dragos, Hsia, Liang-Chung, Tucker, Thomas J.
Pages: 401 - 417
Abstract: We formulate a general question regarding the size of the iterated Galois groups associated with an algebraic dynamical system and then we discuss some special cases of our question. Our main result answers this question for certain split polynomial maps whose coordinates are unicritical polynomials.
PubDate: 2020-07-10
DOI: 10.4153/S0008439520000521

• Geography of simply connected nonspin symplectic 4-manifolds with positive
signature. II

Authors: Akhmedov; Anar, Park, B. Doug
Pages: 418 - 428
Abstract: Building upon our earlier work with M. C. Hughes, we construct many new smooth structures on closed simply connected nonspin -manifolds with positive signature. We also provide numerical and asymptotic upper bounds on the function that was defined in our earlier work.
PubDate: 2020-07-10
DOI: 10.4153/S0008439520000533

• On cohesive almost zero-dimensional spaces

Authors: Dijkstra; Jan J., Lipham, David S.
Pages: 429 - 441
Abstract: We investigate C-sets in almost zero-dimensional spaces, showing that closed C-sets are C-sets. As corollaries, we prove that every rim--compact almost zero-dimensional space is zero-dimensional and that each cohesive almost zero-dimensional space is nowhere rational. To show that these results are sharp, we construct a rim-discrete connected set with an explosion point. We also show that every cohesive almost zero-dimensional subspace of Cantor set is nowhere dense.
PubDate: 2020-07-15
DOI: 10.4153/S0008439520000545

• On intersections of polynomial semigroups orbits with plane lines

Authors: Mello; Jorge
Pages: 442 - 451
Abstract: We study intersections of orbits in polynomial semigroup dynamics with lines on the affine plane over a number field, extending previous work of D. Ghioca, T. Tucker, and M. Zieve (2008).
PubDate: 2020-07-17
DOI: 10.4153/S0008439520000557

• Finite descent obstruction for Hilbert modular varieties

Authors: Baldi; Gregorio, Grossi, Giada
Pages: 452 - 473
Abstract: Let S be a finite set of primes. We prove that a form of finite Galois descent obstruction is the only obstruction to the existence of -points on integral models of Hilbert modular varieties, extending a result of D. Helm and F. Voloch about modular curves. Let L be a totally real field. Under (a special case of) the absolute Hodge conjecture and a weak Serre’s conjecture for mod representations of the absolute Galois group of L, we prove that the same holds also for the -points.
PubDate: 2020-07-22
DOI: 10.4153/S0008439520000569

• Complete boundedness of multiple operator integrals

Authors: Coine; Clément
Pages: 474 - 490
Abstract: In this paper, we characterize the multiple operator integrals mappings that are bounded on the Haagerup tensor product of spaces of compact operators. We show that such maps are automatically completely bounded and prove that this is equivalent to a certain factorization property of the symbol associated with the operator integral mapping. This generalizes a result by Juschenko-Todorov-Turowska on the boundedness of measurable multilinear Schur multipliers.
PubDate: 2020-07-27
DOI: 10.4153/S0008439520000570

• The Klein bottle group is not strongly verbally closed, though awfully
close to being so

Authors: Klyachko; Anton A.
Pages: 491 - 497
Abstract: According to Mazhuga’s theorem, the fundamental group H of anyconnected surface, possibly except for the Klein bottle, is a retract of each finitely generated group containing H as a verbally closed subgroup. We prove that the Klein bottle group is indeed an exception but has a very close property.
PubDate: 2020-08-03
DOI: 10.4153/S0008439520000582

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