Isotypic Decomposition of the Cohomology and Factorization of the Zeta Functions of Dwork Hypersurfaces
arXiv:0912.2075
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.
32 pages, submitted for publication