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Constraints on the cohomological correspondence associated to a self map

Part of: Arithmetic problems. Diophantine geometry

Published online by Cambridge University Press:  14 May 2019

K. V. Shuddhodan
K. V. Shuddhodan*
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India email [email protected]
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Abstract

In this paper 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

topological entropyℓ-adic cohomologytrace formula

MSC classification

Primary: 14G17: Positive characteristic ground fields 14G99: None of the above, but in this section
Type
Research Article
Information
Compositio Mathematica , Volume 155 , Issue 6 , June 2019 , pp. 1047 - 1056
Copyright
© The Author 2019 

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Footnotes

1

Current address: Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Germany

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