Weil numbers generated by other Weil numbers and torsion fields of abelian varieties
Number Theory
2007-05-23 v1
Abstract
Using properties of the Frobenius eigenvalues, we show that, in a precise sense, ``most'' isomorphism classes of (principally polarized) simple abelian varieties over a finite field are characterized up to isogeny by the sequence of their division fields, and a similar result for ``most'' isogeny classes. Some global cases are also treated.
Cite
@article{arxiv.math/0504042,
title = {Weil numbers generated by other Weil numbers and torsion fields of abelian varieties},
author = {Emmanuel Kowalski},
journal= {arXiv preprint arXiv:math/0504042},
year = {2007}
}
Comments
13 pages