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Int-amplified endomorphisms on normal projective surfaces

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arxiv 1902.06071 v1 pith:SC6D5HHU submitted 2019-02-16 math.AG

Yohsuke Matsuzawa , Shou Yoshikawa This is my paper · ORCID
classification math.AG
keywords projectiveendomorphismsequivariantint-amplifiednormalsurfacesurfacescone
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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-\'etale quotient of a smooth projective surface, a Mori dream space, or a projective cone of an elliptic curve.

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  1. Kawaguchi-Silverman conjecture for certain surjective endomorphisms

    math.AG 2019-08 accept novelty 8.0 of 10

    Kawaguchi-Silverman conjecture is proved for all projective surfaces and for rationally connected smooth threefolds with an int-amplified endomorphism.

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