Isogeny classes of non-simple abelian surfaces over finite fields

2023/08/22 by Fu, Yu
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2308.11132

Abstract

Let A=E × E_ss be a principally polarized almost ordinary split abelian surface over a finite field \mathbbF_q. We give asymptotic upper and lower bounds on the number of principally polarized abelian surfaces over \mathbbF_qⁿ that are \mathbbF_q-isogenous to A up to isomorphism, which is a refinement of the results in the work of Achter and Howe.

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