Int-amplified endomorphisms on normal projective surfaces

2019/02/16 by Yohsuke Matsuzawa, Matsuzawa, Yohsuke, Shou Yoshikawa +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1902.06071

Abstract

We investigate int-amplified endomorphisms on normal projective surfaces. We prove that the output of the equivariant MMP is either a Q-abelian surface, a (equivariant) quasi-étale quotient of a smooth projective surface, a Mori dream space, or a projective cone of an elliptic curve.

Citations

• Questions on self maps of algebraic varieties

Cited by

• Effective Eigendivisors and the Kawaguchi-Silverman Conjecture

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