منابع مشابه
Periods of Abelian Varieties
We prove various characterizations of the period torsor of abelian varieties.
متن کامل2 Periods of Abelian Varieties
We prove various characterizations of the period torsor of abelian varieties, and we correct some errors in the literature. A shortened version of this paper will be submitted for publication.
متن کاملMeasures of Simultaneous Approximation for Quasi-periods of Abelian Varieties
Theorem 1.1 (Chudnovsky’s theorems). Let Λ = Zω+Zω′ ⊂ C be a lattice with invariants g2, g3, Weierstrass functions ℘, ζ and quasi-periods η, η′, all defined in the usual way (see [Sil94]). Each of the sets below contains at least two algebraically independent numbers : first (1) {g2, g3, η ω , π ω}, (2) {g2, g3, ω, η, ω′, η′}; if we assume g2, g3 ∈ Q̄ : (3) { η ω , π ω}, (4) {ω, ω′, η, η′}; and ...
متن کاملSeshadri constants and periods of polarized abelian varieties
The purpose of this paper is to study the Seshadri constants of abelian varieties. Consider a polarized abelian variety (A,L) of dimension g over the field of complex numbers. One can associate to (A,L) a real number ε(A,L), its Seshadri constant, which in effect measures how much of the positivity of L can be concentrated at any given point of A. The number ε(A,L) can be defined as the rate of...
متن کاملRegularity on abelian varieties
I will introduce the notion of Mukai regularity for coherent sheaves on abelian varieties, defined via conditions on the supports of the cohomologies of Fourier-Mukai transform complexes. In a very special form, depending on the choice of a polarization, this resembles and in fact strenghtens the classical notion of Castelnuovo-Mumford regularity. The techniques are in part a generalization of ...
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ژورنال
عنوان ژورنال: Notices of the International Congress of Chinese Mathematicians
سال: 2020
ISSN: 2326-4810,2326-4845
DOI: 10.4310/iccm.2020.v8.n2.a2