pith. sign in

arxiv: 1007.0115 · v2 · pith:SC27HVG5new · submitted 2010-07-01 · 🧮 math.AG

The groups of points on abelian surfaces over finite fields

Sergey Rybakov This is my paper
classification 🧮 math.AG
keywords abelianclassfinitegroupspointsclassificationdegreedetermined
0
0 comments X
read the original abstract

Let $A$ be an abelian surface over a finite field $k$. The $k$-isogeny class of $A$ is uniquely determined by a Weil polynomial $f_A$ of degree 4. We give a classification of the groups of $k$-rational points on varieties from this class in terms of $f_A$.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Generalized Kummer surfaces over finite fields

    math.AG 2024-04 unverdicted novelty 5.0

    Refines Katsura theorem on abelian surface quotients birational to K3 surfaces and computes Frobenius traces on NS groups of supersingular generalized Kummer surfaces over finite fields.