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

TL;DR

This paper discusses recent progress in the Equivariant Minimal Model Program and explores its applications in complex and arithmetic dynamics, providing new tools for understanding dynamical systems on algebraic varieties.

Contribution

It introduces advances in the EMMP specifically for non-isomorphic surjective endomorphisms and demonstrates their applications in complex and arithmetic dynamics.

Findings

Enhanced understanding of endomorphisms in algebraic geometry

New applications in complex dynamics

Progress in arithmetic dynamics

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.