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).
@article{bwmeta1.element.doi-10_2478_s11533-010-0003-x,
author = {Sergey Rybakov},
title = {The groups of points on abelian varieties over finite fields},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {282-288},
zbl = {1198.14043},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0003-x}
}
Sergey Rybakov. The groups of points on abelian varieties over finite fields. Open Mathematics, Tome 8 (2010) pp. 282-288. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0003-x/
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