Isotypic Decomposition of the Cohomology and Factorization of the Zeta Functions of Dwork Hypersurfaces

Details Isotypic Decomposition of the Cohomology and Factorization of the Zeta Functions of Dwork Hypersurfaces Isotypic Decomposition of the Cohomology and Factorization of the Zeta Functions of Dwork Hypersurfaces

2009-12-10

arxiv.org/abs/0912.2075v1

Mathematics

Number Theory

32 pages, submitted for publication

Scientific paper

The aim of this article is to illustrate, on the example of Dwork
hypersurfaces, how the study of the representation of a finite group of
automorphisms of a hypersurface in its etale cohomology allows to factor its
zeta function.

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