Results 61 to 70 of about 43,119 (196)
Two problems on varieties of groups generated by wreath products
International Journal of Mathematics and Mathematical Sciences, 2002 We outline results on varieties of groups generated by Cartesian and direct wreath products of abelian groups and pose two problems related to our recent results in that direction. A few related topics are also considered.
Vahagn H. Mikaelian
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GENERIC VANISHING THEORY VIA MIXED HODGE MODULES
Forum of Mathematics, Sigma, 2013 We extend most of the results of generic vanishing theory to bundles of holomorphic forms and rank-one local systems, and more generally to certain coherent sheaves of Hodge-theoretic origin associated with irregular varieties. Our main tools are Saito’s
MIHNEA POPA, CHRISTIAN SCHNELL
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Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
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Building Abelian Functions with Generalised Baker-Hirota Operators
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We present a new systematic method to construct Abelian functions on Jacobian varieties of plane, algebraic curves. The main tool used is a symmetric generalisation of the bilinear operator defined in the work of Baker and Hirota.
Matthew England, Chris Athorne
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Systèmes dynamiques algébriquement complètement intégrables et géométrie
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper I present the basic ideas and properties of the complex algebraic completely integrable dynamical systems. These are integrable systems whose trajectories are straight line motions on complex algebraic tori (abelian varieties). We make, via
Lesfari A.
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Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
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Degenerating abelian varieties
Topology, 1991 The paper deals with abelian varieties over a field \(K\) which is complete with respect to a valuation of height 1. Certain statements which were formulated by Raynaud in 1970 are proved. In a first part the authors give an overview of results on uniformizations of abelian varieties in the framework of rigid analytic geometry.
Bosch, Siegfried, Lütkebohmert, Werner
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Integral models of Shimura varieties with parahoric level structure, II
Forum of Mathematics, PiWe construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are étale locally isomorphic to corresponding local models.
Mark Kisin, Georgios Pappas, Rong Zhou
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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Computing isogenies between abelian varieties [PDF]
Compositio Mathematica, 2012 AbstractWe describe an efficient algorithm for the computation of separable isogenies between abelian varieties represented in the coordinate system given by algebraic theta functions. Let A be an abelian variety of dimension g defined over a field of odd characteristic. Our algorithm comprises two principal steps. First, given a theta null point for A
Lubicz, David, Robert, Damien
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