Constraints on the cohomological correspondence associated to a self map

Abstract

In this article we establish some constraints on the eigenvalues for the action of a self map of a proper variety on its $\ell$-adic cohomology. The essential ingredients are a trace formula due to Fujiwara, and the theory of weights.

arXiv commentv2 Includes changes made based on referee's report. Final version to appear in Compositio Mathematica

Cited by in corpus (2)

• Eigenvalues and dynamical degrees of self-maps on abelian varieties
• Cohomological and numerical dynamical degrees on abelian varieties