Weil numbers generated by other Weil numbers and torsion fields of abelian varieties

被引：10

作者：

Kowalski, E. ^{[1
]}

机构：

[1] Univ Bordeaux 1, F-33405 Talence, France

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2006年 / 74卷

关键词：

D O I：

10.1112/S0024610706023040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using properties of the Frobenius eigenvalues, we show that, in a precise sense, 'most' isomorphism classes of (principally polarized) simple abelian varieties over a finite field are characterized, up to isogeny, by the sequence of their division fields, and we show a similar result for 'most' isogeny classes. Some global cases are also treated.

引用

页码：273 / 288

页数：16

共 15 条

[1]

Chambert-Loir A., 1998, Expo. Math, V16, P333

[2] The generic irreducibility of the numerator of the zeta function in a family of curves with large monodromy [J].