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Annals of Mathematics     Full-text available via subscription   (Followers: 5, SJR: 10.923, CiteScore: 5)
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Annals of Mathematics
Journal Prestige (SJR): 10.923
Citation Impact (citeScore): 5
Number of Followers: 5  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0003-486X
Published by Princeton University Press Homepage  [1 journal]
  • Infinite volume and infinite injectivity radius

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      Authors: annadmin
      Abstract: We prove the following conjecture of Margulis. Let $G$ be a higher rank simple Lie group, and let $\Lambda \le G$ be a discrete subgroup of infinite covolume. Then, the locally symmetric space $\Lambda \backslash G/K$ admits injected balls of … Continue reading →
      PubDate: Wed, 23 Nov 2022 20:43:00 +000
       
  • On the Brumer–Stark conjecture

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      Authors: annadmin
      Abstract: Let $H/F$ be a finite abelian extension of number fields with $F$ totally real and $H$ a CM field. Let $S$ and $T$ be disjoint finite sets of places of $F$ satisfying the standard conditions. The Brumer–Stark conjecture states that … Continue reading →
      PubDate: Wed, 23 Nov 2022 20:43:00 +000
       
  • Special subvarieties of non-arithmetic ball quotients and Hodge theory

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      Authors: annadmin
      Abstract: Let $\Gamma \subset \mathrm {PU}(1,n)$ be a lattice and $S_\Gamma $ be the associated ball quotient. We prove that, if $S_\Gamma $ contains infinitely many maximal complex totally geodesic subvarieties, then $\Gamma $ is arithmetic. We also prove an Ax–Schanuel … Continue reading →
      PubDate: Wed, 23 Nov 2022 20:41:00 +000
       
  • Smooth mixing Anosov flows in dimension three are exponentially mixing

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      Authors: annadmin
      Abstract: We show that a topologically mixing $C^\infty $ Anosov flow on a 3-dimensional compact manifold is exponentially mixing with respect to any equilibrium measure with Hölder potential.
      PubDate: Wed, 23 Nov 2022 20:40:00 +000
       
  • There is no Enriques surface over the integers

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      Authors: annadmin
      Abstract: We show that there is no family of Enriques surfaces over the ring of integers. This extends non-existence results of Minkowski for families of finite étale schemes, of Tate and Ogg for families of elliptic curves, and of Fontaine and … Continue reading →
      PubDate: Wed, 23 Nov 2022 20:40:00 +000
       
  • Dimension formulae and generalised deep holes of the Leech lattice vertex
           operator algebra

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      Authors: annadmin
      Abstract: We prove a dimension formula for the weight-$1$ subspace of a vertex operator algebra $V^{\mathrm {orb}(g)}$ obtained by orbifolding a strongly rational, holomorphic vertex operator algebra $V$ of central charge $24$ with a finite-order automorphism $g$. Based on an upper … Continue reading →
      PubDate: Wed, 23 Nov 2022 19:42:00 +000
       
  • On complex-spin manifolds

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      Sun, 20 Nov 2022 04:14:10 +000
       
  • Hopf structures attached to $K$-theory: Hodgin’s theorem

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      Sun, 20 Nov 2022 04:13:46 +000
       
  • On the double suspension of certain homotopy 3-spheres

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      Sun, 20 Nov 2022 04:12:12 +000
       
  • The Nielsen number of a fibre map

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      Sun, 20 Nov 2022 04:12:05 +000
       
  • Immersing projective spaces

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      Sun, 20 Nov 2022 04:11:41 +000
       
  • On heights of algebraic subspaces and diophantine approximations

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      Sun, 20 Nov 2022 04:11:32 +000
       
  • Representations of complex semi-simple Lie groups and Lie algebras

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      Sun, 20 Nov 2022 04:11:17 +000
       
  • A duality in the representation theory of $C^\ast$-algebras

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      Sun, 20 Nov 2022 04:11:09 +000
       
  • On compact subgroups of the diffeomorphism groups of Kervaire spheres

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      Sun, 20 Nov 2022 04:10:55 +000
       
  • Transversality and super-rigidity for multiply covered holomorphic curves

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      Authors: mak
      Abstract: We develop new techniques to study regularity questions for moduli spaces of pseudoholomorphic curves that are multiply covered. Among the main results, we show that unbranched multiple covers of closed holomorphic curves are generally regular, and simple index $0$ curves … Continue reading →
      PubDate: Sat, 12 Nov 2022 03:35:37 +000
       
  • Redshift and multiplication for truncated Brown–Peterson spectra

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      Authors: annadmin
      Abstract: We equip $\mathrm {BP} \langle n \rangle $ with an $\mathbb {E}_3$-$\mathrm{BP}$-algebra structure for each prime $p$ and height $n$. The algebraic $K$-theory of this ring is of chromatic height exactly $n+1$, and the map $\mathrm {K}(\mathrm{BP}\langle n \rangle )_{(p)} … Continue reading →
      PubDate: Thu, 27 Oct 2022 16:06:00 +000
       
  • Prisms and prismatic cohomology

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      Authors: annadmin
      Abstract: We introduce the notion of a prism, which may be regarded as a “deperfection” of the notion of a perfectoid ring. Using prisms, we attach a ringed site — the prismatic site — to a $p$-adic formal scheme. The resulting … Continue reading →
      PubDate: Thu, 27 Oct 2022 16:05:00 +000
       
  • One can hear the shape of ellipses of small eccentricity

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      Authors: annadmin
      Abstract: We show that if the eccentricity of an ellipse is sufficiently small, then up to isometries it is spectrally unique among all smooth domains. We do not assume any symmetry, convexity, or closeness to the ellipse, on the class of … Continue reading →
      PubDate: Thu, 27 Oct 2022 16:04:00 +000
       
  • Universal optimality of the $E_8$ and Leech lattices and interpolation
           formulas

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      Authors: annadmin
      Abstract: We prove that the $E_8$ root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions eight and twenty-four, respectively. In other words, they minimize energy for every potential function that is a completely … Continue reading →
      PubDate: Thu, 27 Oct 2022 16:03:00 +000
       
  • Invariant measures and measurable projective factors for actions of
           higher-rank lattices on manifolds

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      Authors: annadmin
      Abstract: We consider smooth actions of lattices in higher-rank semisimple Lie groups on manifolds. We define two numbers $r(G)$ and $m(G)$ associated with the roots system of the Lie algebra of a Lie group $G$. If the dimension of the manifold … Continue reading →
      PubDate: Thu, 27 Oct 2022 16:01:00 +000
       
  • Zimmer’s conjecture: Subexponential growth, measure rigidity, and
           strong property (T)

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      Authors: annadmin
      Abstract: We prove several cases of Zimmer’s conjecture for actions of higher-rank, cocompact lattices on low-dimensional manifolds. For example, if $\Gamma$ is a cocompact lattice in $\mathrm{SL}(n,\mathbb{R})$, $M$ is a compact manifold, and $\omega$ a volume form on $M$, we show … Continue reading →
      PubDate: Thu, 27 Oct 2022 16:00:00 +000
       
  • Singularities for the Einstein vacuum equations: The exterior solution

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      Authors: mak
      Abstract: In this work we initiate the mathematical study of naked singularities for the Einstein vacuum equations in $3+1$ dimensions by constructing solutions which correspond to the exterior region of a naked singularity. A key element is our introduction of a … Continue reading →
      PubDate: Wed, 19 Oct 2022 06:24:24 +000
       
  • On the bound of the dimensions of the isometry groups of all possible
           riemannian metrics on an exotic sphere

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      Tue, 11 Oct 2022 02:51:27 +000
       
  • Boundedness of translation invariant operators on Hölder spaces and
           $L^p$-spaces

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      Tue, 11 Oct 2022 02:51:17 +000
       
  • Space of unitary vector bundles on a compact Riemann surface

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      Tue, 11 Oct 2022 02:51:06 +000
       
  • Finite subgroups and isogenies of one-parameter formal Lie groups

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      Tue, 11 Oct 2022 02:50:42 +000
       
  • Hecke polynomials as congruence $\zeta$ functions in elliptic modular case

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      Tue, 11 Oct 2022 02:50:34 +000
       
  • Differential geometry of complex hypersurfaces

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      Tue, 11 Oct 2022 02:50:21 +000
       
  • Simplicial structures and transverse cellularity

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      Tue, 11 Oct 2022 02:50:13 +000
       
  • Postnikov invariants and higher order cohomology operations

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      Tue, 11 Oct 2022 02:50:02 +000
       
  • Solving diophantine problems modulo every prime

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      Tue, 11 Oct 2022 02:49:54 +000
       
  • Construction of class fields and zeta functions of algebraic curves

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      Sat, 01 Oct 2022 00:29:41 +000
       
  • On zeta functions of quadratic forms

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      Sat, 01 Oct 2022 00:29:36 +000
       
  • Weierstrass points at cusps of $\Gamma_0(n)$

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      Sat, 01 Oct 2022 00:29:31 +000
       
  • The spinning and twisting of a complex in a hyperplane

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      Sat, 01 Oct 2022 00:29:23 +000
       
  • Piecewise linear embeddings

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      Sat, 01 Oct 2022 00:29:14 +000
       
  • Algebraic number fields and symplectic discontinuous groups

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      Sat, 01 Oct 2022 00:03:23 +000
       
  • Fixed point free conjugations on complex manifolds

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      Sat, 01 Oct 2022 00:03:17 +000
       
  • Analysis in matrix spaces and some new representations of
           $\mathrm{SL}(N,\mathbf{C})$

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      Sat, 01 Oct 2022 00:03:10 +000
       
  • On the algebraic curves uniformized by arithmetical automorphic functions

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      Sat, 01 Oct 2022 00:03:04 +000
       
  • A $\Pi_\ast$-module structure for $\Theta_\ast$ and applications to
           transformation groups

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      Sat, 01 Oct 2022 00:02:52 +000
       
  • Some remarks on symplectic cobordism

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      Sat, 01 Oct 2022 00:02:46 +000
       
  • Cohomology of arithmetic subgroups of algebraic groups. I.

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      Sat, 01 Oct 2022 00:02:34 +000
       
  • A Lefschetz fixed point formula for elliptic complexes. I.

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      Fri, 30 Sep 2022 22:30:47 +000
       
  • A concept of cobordism between links

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      Fri, 30 Sep 2022 22:30:23 +000
       
  • Fields of tangent 2-planes on even-dimensional manifolds

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      Fri, 30 Sep 2022 22:30:10 +000
       
  • Consistency proofs of subsystems of classical analysis

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      Fri, 30 Sep 2022 22:30:00 +000
       
  • The structure of the spin cobordism ring

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      Fri, 30 Sep 2022 22:29:49 +000
       
  • Existence theorems for analytic linear partial differential equations

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      Fri, 30 Sep 2022 22:29:40 +000
       
  • Poincaré complexes. I.

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      Fri, 30 Sep 2022 22:28:56 +000
       
  • On the non-vanishing of the Jacobian of a homeomorphism of harmonic
           gradients

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      Tue, 27 Sep 2022 04:22:42 +000
       
  • Good reduction of abelian varieties

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      Tue, 27 Sep 2022 04:21:55 +000
       
  • A Lefschetz fixed point formula for elliptic complexes. II. Applications

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      Tue, 27 Sep 2022 04:21:47 +000
       
  • Cohomological dimension of algebraic varieties

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      Tue, 27 Sep 2022 04:21:38 +000
       
  • The weakly complex bordism of Lie groups

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      Tue, 27 Sep 2022 04:21:32 +000
       
  • On the characteristic Cauchy problem

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      Tue, 27 Sep 2022 04:21:21 +000
       
  • On groups acting on locally finite graphs

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      Tue, 27 Sep 2022 04:00:51 +000
       
  • On torsion-free groups with infinitely many ends

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      Tue, 27 Sep 2022 04:00:41 +000
       
  • On the homotopy groups of $BPL$ and $PL/O$

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      Tue, 27 Sep 2022 04:00:29 +000
       
  • On the set of non-locally flat points of a submanifold of codimension one

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      Tue, 27 Sep 2022 04:00:15 +000
       
  • The word problem in fundamental groups of sufficiently large irreducible
           3-manifolds

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      Tue, 27 Sep 2022 03:59:19 +000
       
  • The elementary theory of finite fields

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      Tue, 27 Sep 2022 03:59:08 +000
       
  • Formal cohomology. II. The cohomology sequence of a pair

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      Tue, 27 Sep 2022 03:58:43 +000
       
  • Formal cohomology. I

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      Tue, 27 Sep 2022 03:58:35 +000
       
  • Algebraic cycles on abelian varieties of complex multiplication type

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      Tue, 27 Sep 2022 03:58:21 +000
       
  • Complexity of finite semigroups

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      Tue, 27 Sep 2022 03:14:47 +000
       
  • Fatou’s theorem for symmetric spaces. I

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      Tue, 27 Sep 2022 03:14:38 +000
       
  • Minimal varieties in Riemannian manifolds

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      Tue, 27 Sep 2022 03:14:22 +000
       
  • On Schottky groups with applications to Kleinian groups

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      Tue, 27 Sep 2022 03:14:15 +000
       
  • The structure of weakly compact sets in Banach spaces

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      Tue, 27 Sep 2022 03:14:08 +000
       
  • On the deformation of rings and Algebras. III

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      Tue, 27 Sep 2022 03:13:59 +000
       
  • Conjugate loci of constant order

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      Tue, 27 Sep 2022 02:49:53 +000
       
  • Transversality for polyhedra

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      Tue, 27 Sep 2022 02:49:41 +000
       
  • Representations of uniformly hyperfinite algebras and their associated von
           Neumann rings

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      Tue, 27 Sep 2022 02:49:21 +000
       
  • On a theorem of Bochner

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      Tue, 27 Sep 2022 02:49:13 +000
       
  • On a problem of Philip Hall

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      Tue, 27 Sep 2022 02:49:05 +000
       
  • Bounded analytic functions and Gleason parts

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      Tue, 27 Sep 2022 02:48:57 +000
       
  • Grothendieck groups and Picard groups of abelian group rings

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      Tue, 27 Sep 2022 02:48:44 +000
       
  • Conjugacy classes in Lie algebras and algebraic groups

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      Tue, 27 Sep 2022 02:48:37 +000
       
  • Nonabelian level structures, Nielsen equivalence, and Markoff triples

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      Authors: mak
      Abstract: In this paper we establish a congruence on the degree of the map from a component of a Hurwitz space of covers of elliptic curves to the moduli stack of elliptic curves. Combinatorially, this can be expressed as a congruence … Continue reading →
      PubDate: Sun, 14 Aug 2022 14:55:10 +000
       
  • On Frobenius exact symmetric tensor categories

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      Authors: mak
      Abstract: A fundamental theorem of P. Deligne (2002) states that a pre-Tannakian category over an algebraically closed field of characteristic zero admits a fiber functor to the category of supervector spaces (i.e., is the representation category of an affine proalgebraic subgroup) … Continue reading →
      PubDate: Sun, 14 Aug 2022 14:54:50 +000
       
  • Structurally stable systems on open manifolds are never dense

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      Thu, 11 Aug 2022 03:48:30 +000
       
  • The index of elliptic operators. III.

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      Thu, 11 Aug 2022 03:47:43 +000
       
  • The index of elliptic operators. II.

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      Thu, 11 Aug 2022 03:47:37 +000
       
  • The index of elliptic operators. I.

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      Thu, 11 Aug 2022 03:47:30 +000
       
  • Block bundles. III. Homotopy theory

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      Thu, 11 Aug 2022 03:47:18 +000
       
  • Embedding real projective spaces

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      Thu, 11 Aug 2022 03:46:31 +000
       
  • Structure of inseparable extensions

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      Thu, 11 Aug 2022 03:46:22 +000
       
  • Correction to “The construction of homogeneous convex cones”

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      Thu, 11 Aug 2022 03:17:13 +000
       
  • On class groups of free products

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      Thu, 11 Aug 2022 03:17:04 +000
       
  • Existence and regularity almost everywhere of solutions to elliptic
           variational problems among surfaces of varying topological type and
           singularity structure

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      Thu, 11 Aug 2022 03:16:57 +000
       
  • The decomposition of stable homotopy

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      Thu, 11 Aug 2022 03:16:50 +000
       
  • Cohomology of arithmetic subgroups of algebraic groups. II.

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      Thu, 11 Aug 2022 03:16:43 +000
       
  • Block bundles. II. Transversality

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      Thu, 11 Aug 2022 02:55:33 +000
       
  • A $p$-adic proof of Weil’s conjectures

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      Authors: mak
      Abstract: The first portion of this paper appeared in the preceding issue of this Journal.
      PubDate: Thu, 11 Aug 2022 02:55:24 +000
       
  • A $p$-adic proof of Weil’s conjectures

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      Authors: mak
      Abstract: Due to the length of this paper, it is being published in two parts. The second part will appear at the beginning of the next issue of this journal.
      PubDate: Thu, 11 Aug 2022 02:55:18 +000
       
  • Stability of $C^\infty$ mappings. I. The division theorem

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      Thu, 11 Aug 2022 02:55:07 +000
       
  • On irreducible 3-manifolds which are sufficiently large

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      Thu, 11 Aug 2022 02:54:59 +000
       
  • On the fibre spaces and the evaluation map

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      Thu, 11 Aug 2022 02:54:37 +000
       
 
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