Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties

16 Apr 2020 · Matsuzawa Yohsuke, Sano Kaoru ·

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.