3 papers
math.AG2026
Twisted Deligne modules and abelian varieties over finite fields
Sergey Rybakov
Isogeny classes of abelian varieties over finite fields were described by Tate and Honda. Deligne proved that the category of ordinary abelian varieties over a finite field is equi…
math.AG2024
Generalized Kummer surfaces over finite fields
Sergey Rybakov
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 surface. As an application, w…
math.AG2024
Principal polarizations on products of abelian varieties over finite fields
Sergey Rybakov
We refine and generalize the results of K. E. Lauter and E. W. Howe on principal polarizations on products of abelian varieties over finite fields. Firstly, we study the reasons fo…