Isogeny classes and endomorphism algebras of abelian varieties over finite fields

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2023-01-01 DOI:10.4213/im9332e

Yuri Gennad'evich Zarhin

引用次数: 0

Abstract

We construct nonisogenous simple ordinary abelian varieties over an algebraic closure of a finite field with isomorphic endomorphism algebras.

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有限域上阿贝尔变异的同胚类和自同态代数

在具有同构自同态代数的有限域的代数闭包上构造非同构简单普通阿贝尔变。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.