Abelian varieties over finite fields with a specified characteristic polynomial modulo l

Details Abelian varieties over finite fields with a specified characteristic polynomial modulo l Abelian varieties over finite fields with a specified characteristic polynomial modulo l

2000-10-29

arxiv.org/abs/math/0010284v2

Journal de Theorie des Nombres de Bordeaux, 16:173--178, 2004.

Mathematics

Number Theory

5 pages, submitted to the Proceedings of the AMS. AMS-LaTeX format. Completely revised. Original paper had numerous references

Scientific paper

We estimate the fraction of isogeny classes of abelian varieties over a
finite field which have a given characteristic polynomial P(T) modulo l. As an
application we find the proportion of isogeny classes of abelian varieties with
a rational point of order l.

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