The groups of points on abelian varieties over finite fields

Abstract

Let $A$ be an abelian variety with commutative endomorphism algebra over a finite field $k$. The $k$-isogeny class of $A$ is uniquely determined by a Weil polynomial $f_A$ without multiple roots. We give a classification of the groups of $k$-rational points on varieties from this class in terms of Newton polygons of $f_A(1-t)$.

arXiv comment6 pages; final version

Cited by in corpus (2)

• Finite group subschemes of abelian varieties over finite fields
• On classification of groups of points on abelian varieties over finite fields