Algebra & Number Theory

Cohomological and numerical dynamical degrees on abelian varieties

Fei Hu

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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.

Article information

Source
Algebra Number Theory, Volume 13, Number 8 (2019), 1941-1958.

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

Permanent link to this document
https://projecteuclid.org/euclid.ant/1572314510

Digital Object Identifier
doi:10.2140/ant.2019.13.1941

Mathematical Reviews number (MathSciNet)
MR4017540

Zentralblatt MATH identifier
07118658

Subjects
Primary: 14G17: Positive characteristic ground fields
Secondary: 14K05: Algebraic theory 16K20: Finite-dimensional {For crossed products, see 16S35}

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

Citation

Hu, Fei. Cohomological and numerical dynamical degrees on abelian varieties. Algebra Number Theory 13 (2019), no. 8, 1941--1958. doi:10.2140/ant.2019.13.1941. https://projecteuclid.org/euclid.ant/1572314510


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