Results 41 to 50 of about 221 (90)
Fast evaluation of Riemann theta functions in any dimension
We describe an algorithm to numerically evaluate Riemann theta functions in any dimension in quasi-linear time in terms of the required precision, uniformly on reduced input.
Kieffer, Jean, Elkies, Noam, D.
core +3 more sources
Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
On the grössencharacter of an abelian variety in a parametrized family
, 1983 We consider families of abelian varieties parametrized by classical theta-functions, and show that specifying the family and a CM point in Siegel space determines the grössencharacter of the corresponding CM abelian variety.
Robert S. Rumely
core +1 more source
, 2023 IlustracionesAn accessible introduction to the Schottky problem is given, with explicit computations included. The Schottky problem asks what abelian varieties are jacobian varieties, where a jacobian variety is a certain complex torus constructed out ...
Echavarría Arenas, Santiago
core
Cyclic Isogenies for Abelian Varieties with Real Multiplication
We study quotients of principally polarized abelian varieties with real multiplication by Galois-stable finite subgroups and describe when these quotients are principally polarizable.
DUDEANU, Alina +3 more
core +2 more sources
Efficient Pairing Computation with Theta Functions
, 2010 The original publication is available at www.springerlink.comInternational audienceIn this paper, we present a new approach based on theta functions to compute Weil and Tate pairings. A benefit of our method, which does not rely on the classical Miller's
Robert, Damien +3 more
core +1 more source
Arithmetic on Abelian and Kummer Varieties [PDF]
, 2015 A Kummer variety is obtained as the quotient of an abelian variety by the automorphism $(-1)$ acting on it. Kummer varieties can be seen as a higher dimensional generalisation of the $x$-coordinate representation of a point of an elliptic curve given by ...
David Lubicz, Damien Robert
core
F-virtual Abelian Varieties and Rallis Inner Product Formula
, 2011 This thesis consists of two topics. First we study F-virtual Abelian varieties of GL2-type where F is a number field. We show the relation between these Abelian varieties and those defined over F.
Wu, Chenyan
core +1 more source
From Quantum Curves to Topological String Partition Functions. [PDF]
Commun Math Phys, 2023 Coman I, Pomoni E, Teschner J.
europepmc +1 more source
Sphere Partition Function of Calabi-Yau GLSMs. [PDF]
Commun Math Phys, 2022 Erkinger D, Knapp J.
europepmc +1 more source