Dynamical Iitaka theory on Fano contractions

Published 19 Jun 2025 in math.AG, math.DS, and math.NT | (2506.16057v1)

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.

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