Algebraic versus topological entropy for surfaces over finite fields

Hélène Esnault; Vasudevan Srinivas

Algebraic versus topological entropy for surfaces over finite fields

Hélène Esnault
, Vasudevan Srinivas

Mathematics

University of Duisburg-Essen

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

We show that, as in de Rham cohomology over the complex numbers, the value of the entropy of an automorphism of the surface over a finite field F_q is taken on the span of the Néron-Severi group inside of l-adic cohomology.

Original language	English
Pages (from-to)	827-846
Number of pages	20
Journal	Osaka Journal of Mathematics
Volume	50
Issue number	3
State	Published - Sep 2013

Cite this

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title = "Algebraic versus topological entropy for surfaces over finite fields",

abstract = "We show that, as in de Rham cohomology over the complex numbers, the value of the entropy of an automorphism of the surface over a finite field Fq is taken on the span of the N{\'e}ron-Severi group inside of l-adic cohomology.",

author = "H{\'e}l{\`e}ne Esnault and Vasudevan Srinivas",

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T1 - Algebraic versus topological entropy for surfaces over finite fields

AU - Esnault, Hélène

AU - Srinivas, Vasudevan

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AB - We show that, as in de Rham cohomology over the complex numbers, the value of the entropy of an automorphism of the surface over a finite field Fq is taken on the span of the Néron-Severi group inside of l-adic cohomology.

UR - https://www.scopus.com/pages/publications/84884801010

M3 - Article

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EP - 846

JO - Osaka Journal of Mathematics

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Algebraic versus topological entropy for surfaces over finite fields

Abstract

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