Counting the number of the twists of certain polarized abelian varieties

2019/11/20 by Hwang, WonTae, Jeong, Keunyoung
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1911.08758

Abstract

We count the number of isomorphism classes of degree d-twists of some polarized abelian varieties over finite fields of odd prime dimension. This can be seen as a higher dimensional analogue of the counting problem for elliptic curves case.

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