Lefschetz classes of simple factors of Fermat Jacobian of prime degree over finite fields
classification
🧮 math.NT
math.AG
keywords
classeslefschetzsimpledegreefactorsfermatfinitejacobian
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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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