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

2009/12/10 by Philippe Goutet, Goutet, Philippe
Mathematics · #11G25 #14G10 (Primary) #14G15 #20C05 (Seconadry) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Holomorphic and Operator Theory #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0912.2075

openalex publication_date 2009/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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