On superspecial abelian varieties over finite fields

2016/02/08 by Jiangwei Xue, Xue, Jiangwei, Tse-Chung Yang +3
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1602.02541

32 pages

arxiv created 2016/02/08 · arxiv updated 2016/02/09

Abstract

In this paper we establish a new lattice description for superspecial abelian varieties over a finite field \mathbb 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 \mathbb F_q.

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