Eigenvalues of Frobenius acting on the ℓ-adic cohomology of complete intersections of low degree

2003/04/10 by Hélène Esnault, Esnault, Hélène
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #math.AG

paper · pdf · doi:10.48550/arxiv.math/0304141

5 pages, latex

arxiv created 2003/04/19 · arxiv updated 2009/11/30

Abstract

The eigenvalues of Frobenius acting on ℓ-adic cohomology of a complete intersection over a finite field have the divisibility predicted by the theorem of Ax and Katz. We have corrected some unforgivable typos.

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