On superspecial abelian surfaces over finite fields
Jiangwei Xue, Tse-Chung Yang, Chia‐Fu Yu · Documenta Mathematica · 2016
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 .