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

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

2012-01-15

arxiv.org/abs/1201.3061v2

Mathematics

Number Theory

Scientific paper

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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