On the body of ample angles of asymptotically log Fano varieties

Fuente: arXiv
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Autores principales: Cascini, Paolo, Martinez-Garcia, Jesus, Rubinstein, Yanir A.
Formato: Preprint
Publicado: 2020
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author Cascini, Paolo
Martinez-Garcia, Jesus
Rubinstein, Yanir A.
author_facet Cascini, Paolo
Martinez-Garcia, Jesus
Rubinstein, Yanir A.
contents In dimension two, we reduce the classification problem for asymptotically log Fano pairs to the problem of determining generality conditions on certain blow-ups. In any dimension, we prove the rationality of the body of ample angles of an asymptotically log Fano pair, i.e., these convex bodies are always rational polytopes.
format Preprint
id arxiv_https___arxiv_org_abs_2007_15595
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle On the body of ample angles of asymptotically log Fano varieties
Cascini, Paolo
Martinez-Garcia, Jesus
Rubinstein, Yanir A.
Algebraic Geometry
In dimension two, we reduce the classification problem for asymptotically log Fano pairs to the problem of determining generality conditions on certain blow-ups. In any dimension, we prove the rationality of the body of ample angles of an asymptotically log Fano pair, i.e., these convex bodies are always rational polytopes.
title On the body of ample angles of asymptotically log Fano varieties
topic Algebraic Geometry
url https://arxiv.org/abs/2007.15595