Lattices in Tate modules

被引：2

作者：

Poonen, Bjorn ^{[1
]}

Rybakov, Sergey ^{[2
,3
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

[2] Russian Acad Sci, Inst Informat Transmiss Problems, Lab 13, Moscow 127051, Russia

[3] Interdisciplinary Sci Ctr JV Poncelet, Moscow 119002, Russia

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2021年 / 118卷 / 49期

关键词：

abelian variety; Tate module; endomorphism; Dieudonne module; ABELIAN-VARIETIES;

D O I：

10.1073/pnas.2113201118

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Refining a theorem of Zarhin, we prove that, given a g dimensional abelian variety X and an endomorphism u of X, there exists a matrix A is an element of M-2g(Z) such that each Tate module TeX has a Ze-basis on which the action of u is given by A, and similarly for the covariant Dieudonne module if over a perfect field of characteristic p.

引用

页数：3

共 50 条

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