Geodesic
On superspecial abelian surfaces over finite fields
Documenta mathematica, Tome 21 (2016), pp. 1607-1643
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In this paper we establish a new lattice description for superspecial abelian varieties over a finite field Fq​ of q=pa 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 Fq​.
DOI : 10.4171/dm/x9
Classification : 11G10, 11G20
Mots-clés : Galois cohomology, supersingular abelian surfaces, class number formula 
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     author = {Jiangwei Xue and Tse-Chung Yang and Chia-Fu Yu},
     title = {On superspecial abelian surfaces over finite fields},
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     pages = {1607--1643},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/x9},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x9/}
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Jiangwei Xue; Tse-Chung Yang; Chia-Fu Yu. On superspecial abelian surfaces over finite fields. Documenta mathematica, Tome 21 (2016), pp. 1607-1643. doi: 10.4171/dm/x9

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