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2019 Cohomological and numerical dynamical degrees on abelian varieties
Fei Hu
Algebra Number Theory 13(8): 1941-1958 (2019). DOI: 10.2140/ant.2019.13.1941

Abstract

We show that for a self-morphism of an abelian variety defined over an algebraically closed field of arbitrary characteristic, the second cohomological dynamical degree coincides with the first numerical dynamical degree.

Citation

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Fei Hu. "Cohomological and numerical dynamical degrees on abelian varieties." Algebra Number Theory 13 (8) 1941 - 1958, 2019. https://doi.org/10.2140/ant.2019.13.1941

Information

Received: 23 October 2018; Revised: 17 April 2019; Accepted: 15 July 2019; Published: 2019
First available in Project Euclid: 29 October 2019

zbMATH: 07118658
MathSciNet: MR4017540
Digital Object Identifier: 10.2140/ant.2019.13.1941

Subjects:
Primary: 14G17
Secondary: 14K05 , 16K20

Keywords: abelian variety , algebraic cycle , dynamical degree , endomorphism algebra , étale cohomology , positive characteristic

Rights: Copyright © 2019 Mathematical Sciences Publishers

Vol.13 • No. 8 • 2019
MSP
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