Weil numbers generated by other Weil numbers and torsion fields of abelian varieties

Details Weil numbers generated by other Weil numbers and torsion fields of abelian varieties Weil numbers generated by other Weil numbers and torsion fields of abelian varieties

2005-04-03

arxiv.org/abs/math/0504042v1

Mathematics

Number Theory

13 pages

Scientific paper

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.

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