Geodesic
On superspecial abelian surfaces over finite fields
Documenta mathematica, Tome 21 (2016), pp. 1607-1643.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 $\mathbb F_q$.
Classification : 11G20, 11G10
Keywords: supersingular abelian surfaces, class number formula, Galois cohomology 
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Xue, Jiangwei; Yang, Tse-Chung; Yu, Chia-Fu. On superspecial abelian surfaces over finite fields. Documenta mathematica, Tome 21 (2016), pp. 1607-1643. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a3/