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arXiv · 2007.15595

On the body of ample angles of asymptotically log Fano varieties

Paolo Cascini·Jesus Martinez-Garcia·Yanir A. Rubinstein
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Abstract

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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Paolo Cascini, Jesus Martinez-Garcia, Yanir A. Rubinstein. 2020-07-30. On the body of ample angles of asymptotically log Fano varieties. https://doi.org/10.1007/s12215-021-00712-9

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