Dynamical Iitaka theory on Fano contractions
Algebraic Geometry
2025-06-23 v1 Dynamical Systems
Number Theory
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.
Cite
@article{arxiv.2506.16057,
title = {Dynamical Iitaka theory on Fano contractions},
author = {Sheng Meng and Long Wang and Tianle Yang},
journal= {arXiv preprint arXiv:2506.16057},
year = {2025}
}
Comments
24 pages, comments are welcome