Polarized Endomorphisms of Fano Varieties With Complements

Abstract Let $X$ be a Fano type variety and $(X,\Delta )$ be a log Calabi–Yau pair with $\Delta $ a Weil divisor. If $(X,\Delta )$ admits a polarized endomorphism, then we show that $(X,\Delta )$ is a finite quotient of a toric pair.

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Publication Details

Journal
International Mathematics Research Notices
Published
2025-04-01
DOI
https://doi.org/10.1093/imrn/rnaf093
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Polarized Endomorphisms of Fano Varieties With Complements

José Ignacio Yáñez, Wern Yeong, Joaquí­n Moraga
International Mathematics Research Notices
Algebraic Geometry and Number Theory
article

Polarized Endomorphisms of Fano Varieties With Complements

José Ignacio Yáñez, Wern Yeong, Joaquí­n Moraga
article en

Abstract

Abstract Let $X$ be a Fano type variety and $(X,\Delta )$ be a log Calabi–Yau pair with $\Delta $ a Weil divisor. If $(X,\Delta )$ admits a polarized endomorphism, then we show that $(X,\Delta )$ is a finite quotient of a toric pair.

International Mathematics Research NoticesVol. 2025(8)
University of California, Los Angeles (US)
Openalex Percentile: Top 88%
Algebraic Geometry and Number Theory
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Polarized Endomorphisms of Fano Varieties With Complements — José Ignacio Yáñez, Wern Yeong, et al. · International Mathematics Research Notices (2025) | TGRS Research Map | TGRS