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

Philippe Goutet (1)

1 IMJ - Institut de Mathématiques de Jussieu

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.

Mots clés: Zeta function factorisation; Dwork hypersurfaces; isotypic decomposition

Domaines: Théorie des nombres [math.NT]

Philippe Goutet. Isotypic Decomposition of the Cohomology and Factorization of the Zeta Functions of Dwork Hypersurfaces. 2009. ⟨hal-00440358⟩