English

Constraints on the cohomological correspondence associated to a self map

Algebraic Geometry 2019-05-15 v2

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.

Keywords

Cite

@article{arxiv.1803.06461,
  title  = {Constraints on the cohomological correspondence associated to a self map},
  author = {K. V. Shuddhodan},
  journal= {arXiv preprint arXiv:1803.06461},
  year   = {2019}
}

Comments

v2 Includes changes made based on referee's report. Final version to appear in Compositio Mathematica