Remarks on log Calabi--Yau structure of varieties admitting polarized endomorphism

Abstract

We discuss the Calabi--Yau type structure of normal projective surfaces and Mori dream spaces admitting a non-trivial polarized endomorphism.

arXiv comment13 pages, Major revision, v3. remove serious and non serious mistakes, v4. minor modification, the final version to appear in Taiwanese Journal of Mathematics, special issue for the proceedings of the conference "Algebraic Geometry in East Asia 2016"

References in corpus (9)

• Globally $F$-regular and log Fano varieties
• Big rational surfaces
• The Adjunction Conjecture and its applications
• Reduction maps and minimal model theory
• Scalable Algorithms for Tractable Schatten Quasi-Norm Minimization
• On the Volume of Isolated Singularities
• Higher direct images of log canonical divisors and positivity theorems
• Building blocks of polarized endomorphisms of normal projective varieties
• On isolated singularities with noninvertible finite endomorphism