ON SUPERSPECIAL ABELIAN SURFACES OVER FINITE FIELDS

被引：0
|
作者：
Xue, Jiangwei [1 ]
Yang, Tse-Chung [2 ]
Yu, Chia-Fu [3 ,4 ]
机构：
[1] Wuhan Univ, Collaborat Innovat CtrMath, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
[2] Acad Sinica, Inst Math, Astron Math Bldg 6F,1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan
[3] Acad Sinica, Inst Math, Astro Math Bldg 1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan
[4] NCTS, Astro Math Bldg 1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan
来源：
DOCUMENTA MATHEMATICA | 2016年 / 21卷
关键词：
supersingular abelian surfaces; class number formula; Galois cohomology; CLASS-NUMBER; VARIETIES; ALGEBRAS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish a new lattice description for superspecial abelian varieties over a finite field F-q of q = p(a) elements. Our description depends on the parity of the exponent a of q. When q is an odd power of the prime p, we give an explicit formula for the number of superspecial abelian surfaces over F-q.
引用
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页码：1607 / 1643
页数：37
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