On the body of ample angles of asymptotically log Fano varieties

被引：0
|
作者：
Paolo Cascini
Jesus Martinez-Garcia
Yanir A. Rubinstein
机构：
[1] Imperial College,
[2] University of Essex,undefined
[3] University of Maryland,undefined
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2023年 / 72卷
关键词：
Asymptotically log Fano varieties; Asymptotically log Del Pezzo surfaces; Body of ample angles; 14J45; 14J26 (primary); 14J10; 14E05 (secondary);
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学科分类号：
摘要：
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.
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页码：773 / 790
页数：17
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