SPLIT REDUCTIONS OF SIMPLE ABELIAN VARIETIES

被引：0

作者：

Achter, Jeffrey D. ^{[1
]}

机构：

[1] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2009年 / 16卷 / 2-3期

关键词：

L-ADIC REPRESENTATIONS; GENUS; 2; NUMBERS; CURVES; FIELDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider an absolutely simple abelian variety X over a number field K. We show that if the absolute endomorphism ring of X is commutative and satisfies certain parity conditions, then X-p is absolutely simple for almost all primes p. Conversely, if the absolute endomorphism ring of X is noncommutative, then X-p is reducible for p in a set of positive density.

引用

页码：199 / 213

页数：15

共 28 条

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