The groups of points on abelian varieties over finite fields

Details The groups of points on abelian varieties over finite fields The groups of points on abelian varieties over finite fields

2009-03-02

arxiv.org/abs/0903.0106v4

Central European Journal of Mathematics, Volume 8, Number 2, 2010, 282-288

Mathematics

Algebraic Geometry

6 pages; final version

Scientific paper

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 $f_A(1-t)$.

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