Advances in the equivariant minimal model program and their applications in complex and arithmetic dynamics

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Preprint

28 November 2023

preprint
Published by arXiv in arXiv

DOI:10.48550/arXiv.2311.16369

Abstract

This note reports some advances in the Equivariant Minimal Model Program (EMMP) for non-isomorphic surjective endomorphisms and their applications in complex and arithmetic dynamics.

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This publication has 58 references indexed in Scilit:

Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits
Mathematische Zeitschrift, 2023
Amplified endomorphisms of Fano fourfolds
manuscripta mathematica, 2022
Kawaguchi–Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism
Mathematische Annalen, 2021
Non-isomorphic endomorphisms of Fano threefolds
Mathematische Annalen, 2021
Polarized endomorphisms of normal projective threefolds in arbitrary characteristic
Mathematische Annalen, 2019
Building blocks of amplified endomorphisms of normal projective varieties
Mathematische Zeitschrift, 2019
Singularities of varieties admitting an endomorphism
Mathematische Annalen, 2014
Existence of log canonical closures
Inventiones Mathematicae, 2012
Polarized endomorphisms of complex normal varieties
Mathematische Annalen, 2009
Threefolds whose canonical bundles are not numerically effective
2006