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arXiv · 1602.02541

On superspecial abelian varieties over finite fields

Jiangwei Xue·Tse-Chung Yang·Chia-Fu Yu
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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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Jiangwei Xue, Tse-Chung Yang, Chia-Fu Yu. 2016-02-08. On superspecial abelian varieties over finite fields. https://arxiv.org/abs/1602.02541

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