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 کاملAbelian Varieties
This the original TEX file for my article Abelian Varieties, published as Chapter V of Arithmetic geometry (Storrs, Conn., 1984), 103–150, Springer, New York, 1986. The table of contents has been restored, some corrections have been made,1 there are minor improvements to the exposition, and an index has been added. The numbering is unchanged.
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2004
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x04000417