Results 51 to 60 of about 161 (99)
On algebra of theta functions [PDF]
, 2007 This thesis consists of two parts. Both parts are about the algebra of theta functions. The first part is on the construction of the theta Hecke algebra, which contains both the graded algebra of theta functions and the Hecke algebra of the Heisenberg ...
Tam, Kam Fai
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On the grössencharacter of an abelian variety in a parametrized family [PDF]
, 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
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Fast evaluation of Riemann theta functions in any dimension [PDF]
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.
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Abelian varieties in the theta model and applications in cryptography [PDF]
Isogenies of principally polarised abelian varieties have been used in recent years to build cryptographic protocols that are secure against quantum computers.
SFERLAZZA, ALESSANDRO
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Curves of genus 2 with real multiplication by a square root of 5 [PDF]
, 1998 Our aim in this work is to produce equations for curves of genus 2 whose Jacobians have real multiplication (RM) by $\mathbb{Q}(\sqrt{5})$, and to examine the conjecture that any abelian surface with RM by $\mathbb{Q}(\sqrt{5})$ is isogenous to a simple ...
Wilson, J.
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, 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
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Sphere Partition Function of Calabi-Yau GLSMs. [PDF]
Commun Math Phys, 2022 Erkinger D, Knapp J.
europepmc +1 more source
A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]
Anal Math Phys, 2022 Piorkowski M, Teschl G.
europepmc +1 more source
A generalisation of Miller’s algorithm and applications to pairing computations on abelian varieties [PDF]
, 2013 In this paper, we use the theory of theta functions to generalize to all abelian varieties the usual Miller\u27s algorithm to compute a function associated to a principal divisor.
David Lubicz, Damien Robert
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Tropical theta functions for tropical abelian varieties [PDF]
, 2021 In questa tesi magistrale vengono studiate tori reali dotati di una struttura tropicale. L'obiettivo principale è la dimostrazione, in analogia con la teoria delle varietà abeliane complesse, di un teorema che fornisce condizioni necessarie per l ...
Maccarini, Niccolò
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