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arXiv · 2404.00945

Generalized Kummer surfaces over finite fields

Sergey Rybakov
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Abstract

In this paper, we prove a refinement of the Katsura theorem on finite group actions on abelian surfaces such that the quotient is birational to a $K3$ surface. As an application, we compute traces of Frobenius on the Neron--Severi groups of supersingular generalized Kummer surfaces over finite fields.

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Sergey Rybakov. 2024-04-01. Generalized Kummer surfaces over finite fields. https://arxiv.org/abs/2404.00945

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