Results 1 to 10 of about 5,424 (75)
Secants of Abelian varieties, theta functions, and soliton equations [PDF]
Russian Mathematical Surveys, 1997 This paper is a survey on relations between secant identities and soliton equations and applications of soliton equations to problems of algebraic geometry, i.e., the Riemann-Schottky problem and its analogues. A short introduction into the analytic theory of theta functions is also given.
Taimanov, I. A.
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Definability of restricted theta functions and families of abelian varieties [PDF]
Duke Mathematical Journal, 2013 We consider some classical maps from the theory of abelian varieties and their moduli spaces and prove their definability, on restricted domains, in the o-minimal structure $\Rae$. In particular, we prove that the embedding of moduli space of principally polarized ableian varierty, $Sp(2g,\Z)\backslash \CH_g$, is definable in $\Rae$, when restricted to
Peterzil, Ya’acov, Starchenko, Sergei
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Ultrametric theta functions and abelian varieties [PDF]
Nagoya Mathematical Journal, 1978 Let k be a field complete with respect to a non-trivial, non-archimedean valuation and let g be a positive integer. Consider the following question : if Γ is a multiplicative subgroup of Gg = (k*)g satisfying certain “Riemann conditions”, can one construct in a natural way an abelian variety defined over k having Gg/Γ as its set of k-rational points ...
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Moduli spaces of abstract and embedded Kummer varieties [PDF]
, 2018 In this paper, we investigate the construction of two moduli stacks of Kummer varieties. The first one is the stack $\mathcal K^{\text{abs}}_g$ of abstract Kummer varieties and the second one is the stack $\mathcal K^{\text{em}}_g$ of embedded Kummer ...
Galeotti, Mattia, Perna, Sara
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Moduli of abelian surfaces, symmetric theta structures and theta characteristics [PDF]
, 2015 We study the birational geometry of some moduli spaces of abelian varieties with extra structure: in particular, with a symmetric theta structure and an odd theta characteristic.
Bolognesi, Michele, Massarenti, Alex
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A note on the Schottky problem [PDF]
, 2018 In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the Andr{\'e}-Oort conjecture, Okounkov convex bodies, Coleman's conjecture, stable modular forms, Siegel-Jacobi ...
Yang, Jae-Hyun
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On Theta Functions and Abelian Varieties over Valuation Fields of Rank One: (II) Theta Functions and Abelian Functions of Characteristicp(>0) [PDF]
Nagoya Mathematical Journal, 1962 It may safely said that one of the most important problems in modern algebraic geometry is to elevate theory of abelian functions to the same level as theory of elliptic functions beyond the modern formulation of classical results. Being concerned in such a problem, we feel that one of the serious points is the lack of knowladge on the explicit ...
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Bundles of generalized theta functions over abelian surfaces [PDF]
, 2016 We study the bundles of generalized theta functions constructed from moduli spaces of sheaves over abelian surfaces. In degree 0, the splitting type of these bundles is expressed in terms of indecomposable semihomogeneous factors.
Oprea, Dragos
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Theta Functions and Abelian Varieties over Valuation Fields of Rank one I [PDF]
Nagoya Mathematical Journal, 1962 We shall denote by the Z-module of integral vectors of dimension r, by T a symmetric complex matrix with positive definite imaginary part and by g the variable vector. If we put and the fundamental theta function is expressed in the form: as a series in q and u.
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Journal de Mathématiques Pures et Appliquées, 2012 A few corrections, final ...
Müller-Stach, S. +2 more
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