Int-amplified endomorphisms on normal projective surfaces

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.

16 pages

References in corpus (1)

• Questions on self maps of algebraic varieties

Cited by in corpus (2)

• Global $F$-splitting of surfaces admitting an int-amplified endomorphim
• Effective Eigendivisors and the Kawaguchi-Silverman Conjecture