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

Emmanuel Kowalski

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

Emmanuel Kowalski

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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.

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BibTeX RIS

Emmanuel Kowalski. 2005-04-03. Weil numbers generated by other Weil numbers and torsion fields of abelian varieties. https://arxiv.org/abs/math/0504042

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