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On the body of ample angles of asymptotically log Fano varieties

Cascini, Paolo and Martinez-Garcia, Jesus and Rubinstein, Yanir A (2022) 'On the body of ample angles of asymptotically log Fano varieties.' Rendiconti del Circolo Matematico di Palermo Series 2. ISSN 0009-725X

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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.

Item Type: Article
Uncontrolled Keywords: Asymptotically log Fano varieties; Asymptotically log Del Pezzo surfaces; Body of ample angles
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 10 Feb 2022 11:40
Last Modified: 10 Feb 2022 11:40
URI: http://repository.essex.ac.uk/id/eprint/32260

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