Dynamical Iitaka theory on Fano contractions
arXiv:2506.16057
Abstract
We give several structure theorems for certain surjective endomorphisms on Mori fibre spaces, based on the dynamical Iitaka fibration of the ramification divisor. As an application, we prove the Kawaguchi-Silverman conjecture for projective bundles over abelian varieties or smooth projective varieties of Picard number one.
24 pages, comments are welcome