## Algebra & Number Theory

### Cohomological and numerical dynamical degrees on abelian varieties

Fei Hu

#### 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
Revised: 17 April 2019
Accepted: 15 July 2019
First available in Project Euclid: 29 October 2019

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

#### 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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