The groups of points on abelian varieties over finite fields
Algebraic Geometry
2010-07-01 v4 Number Theory
Abstract
Let be an abelian variety with commutative endomorphism algebra over a finite field . The -isogeny class of is uniquely determined by a Weil polynomial without multiple roots. We give a classification of the groups of -rational points on varieties from this class in terms of Newton polygons of .
Keywords
Cite
@article{arxiv.0903.0106,
title = {The groups of points on abelian varieties over finite fields},
author = {Sergey Rybakov},
journal= {arXiv preprint arXiv:0903.0106},
year = {2010}
}
Comments
6 pages; final version