2024/06/26 by Joaquín Moraga, Moraga, Joaquín, José Ignacio Yáñez +3 · 2 citations
Mathematics · #14M25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Primary 08A35 #Secondary 14F35
paper · pdf · doi:10.48550/arxiv.2406.18092
openalex publication_date 2024/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (X,Δ) be a dlt log Calabi-Yau pair admitting a polarized endomorphism. We show that (X,Δ) is a finite quotient of a toric log Calabi-Yau fibration over an abelian variety. We provide an example which shows that the previous statement does not hold if we drop the dlt condition of (X,Δ) even if X is a smooth variety. Given a klt type variety X and a log Calabi-Yau pair (X,Δ) admitting a polarized endomorphism, we show that a suitable birational modification of (X,Δ) is a finite quotient of a toric log Calabi-Yau fibration over an abelian variety.