Algebra & Number Theory

Cohomological and numerical dynamical degrees on abelian varieties

Fei Hu

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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

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

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

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

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


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.

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