Almost ordinary abelian varieties over finite fields

被引：8

作者：

Oswal, Abhishek ^{[1
]}

Shankar, Ananth N. ^{[2
]}

机构：

[1] Univ Toronto, Dept Math, 45 St George St, Toronto, ON M5S 2E5, Canada

[2] MIT, Dept Math, 182 Mem Dr, Cambridge, MA 02142 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2020年 / 101卷 / 03期

关键词：

11G10; 11G25; 14K10 (primary);

D O I：

10.1112/jlms.12291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a characterization of simple almost ordinary abelian varieties over finite fields (of odd characteristic) analogous to work of Deligne in the ordinary case, and work of Centeleghe-Stix in the case of abelian varieties over Fp. We then use this characterization to provide lower bounds for the sizes of many almost ordinary isogeny classes.

引用

页码：923 / 937

页数：15

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