Polarized endomorphisms of Fano varieties with complements
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910365431889920 |
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| author | Moraga, Joaquín Yáñez, José Ignacio Yeong, Wern |
| author_facet | Moraga, Joaquín Yáñez, José Ignacio Yeong, Wern |
| contents | Let $X$ be a Fano type variety and $(X,Δ)$ be a log Calabi-Yau pair with $Δ$ a Weil divisor. If $(X,Δ)$ admits a polarized endomorphism, then we show that $(X,Δ)$ is a finite quotient of a toric pair. Along the way, we prove that a klt Calabi-Yau pair $(X,Δ)$ with standard coefficients that admits a polarized endomorphism is the quotient of an abelian variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15506 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polarized endomorphisms of Fano varieties with complements Moraga, Joaquín Yáñez, José Ignacio Yeong, Wern Algebraic Geometry Primary 08A35, 14M25, Secondary 14F35 Let $X$ be a Fano type variety and $(X,Δ)$ be a log Calabi-Yau pair with $Δ$ a Weil divisor. If $(X,Δ)$ admits a polarized endomorphism, then we show that $(X,Δ)$ is a finite quotient of a toric pair. Along the way, we prove that a klt Calabi-Yau pair $(X,Δ)$ with standard coefficients that admits a polarized endomorphism is the quotient of an abelian variety. |
| title | Polarized endomorphisms of Fano varieties with complements |
| topic | Algebraic Geometry Primary 08A35, 14M25, Secondary 14F35 |
| url | https://arxiv.org/abs/2401.15506 |