Remarks on log Calabi--Yau structure of varieties admitting polarized endomorphism
Ama\"el Broustet, Yoshinori Gongyo
TL;DR
This paper investigates the Calabi-Yau structures of certain algebraic varieties, specifically normal projective surfaces and Mori dream spaces, that admit non-trivial polarized endomorphisms, exploring their geometric properties.
Contribution
It provides new insights into the Calabi-Yau type structures of varieties with polarized endomorphisms, expanding understanding of their geometric and algebraic features.
Findings
Characterization of Calabi-Yau structures in specific varieties
Conditions under which polarized endomorphisms exist
Implications for the classification of algebraic surfaces
Abstract
We discuss the Calabi--Yau type structure of normal projective surfaces and Mori dream spaces admitting a non-trivial polarized endomorphism.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds