Numerical equivalence, cohomological equivalence, and Lefschetz theory of abelian varieties on finite fields (Q1011948)

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scientific article; zbMATH DE number 5543157
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Numerical equivalence, cohomological equivalence, and Lefschetz theory of abelian varieties on finite fields
scientific article; zbMATH DE number 5543157

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    Numerical equivalence, cohomological equivalence, and Lefschetz theory of abelian varieties on finite fields (English)
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    14 April 2009
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    Let \(A\) be an abelian variety over a finite field. The author determines the group of automorphisms generated, in the endomorphisms of the cohomology of \(A\), by the Lefschetz operators and the complex multiplications.
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    abelian varieties
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    finite fields
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    Lefschetz operators
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    etale cohomology
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