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arXiv · 1201.3061

Lefschetz classes of simple factors of Fermat Jacobian of prime degree over finite fields

Rin Sugiyama
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Abstract

We give a necessary and sufficient condition in terms of a matrix for which all Tate classes are Lefschetz for simple abelian varieties over an algebraic closure of a finite field. As an application, we prove under an assumption that all Tate classes are Lefschetz for simple factors of Fermat Jacobian of prime degree.

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Rin Sugiyama. 2012-03-19. Lefschetz classes of simple factors of Fermat Jacobian of prime degree over finite fields. https://arxiv.org/abs/1201.3061

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