English

Cohomological and numerical dynamical degrees on abelian varieties

Algebraic Geometry 2021-02-24 v2 Dynamical Systems

Abstract

We show that for an endomorphism 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.

Keywords

Cite

@article{arxiv.1901.02618,
  title  = {Cohomological and numerical dynamical degrees on abelian varieties},
  author = {Fei Hu},
  journal= {arXiv preprint arXiv:1901.02618},
  year   = {2021}
}

Comments

18 pages, rewrote the proof of Theorem 1.2 with more details provided, to appear in Algebra Number Theory

R2 v1 2026-06-23T07:06:45.783Z