Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties
Algebraic Geometry
2020-04-17 v3 Number Theory
Abstract
We prove a conjecture by Kawaguchi-Silverman on arithmetic and dynamical degrees, for self-morphisms of semi-abelian varieties. Moreover, we determine the set of the arithmetic degrees of orbits and the (first) dynamical degrees of self-morphisms of semi-abelian varieties.
Keywords
Cite
@article{arxiv.1802.03173,
title = {Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties},
author = {Yohsuke Matsuzawa and Kaoru Sano},
journal= {arXiv preprint arXiv:1802.03173},
year = {2020}
}
Comments
20 pages. A minor typo is corrected