2020arXiv (Cornell University)Open access

Some remarks on 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.

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What this paper is about

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.

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Available 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.

Key concepts: Fano plane, Generality, Dimension (graph theory), Mathematics, Asymptotically optimal algorithm, Rationality, Pure mathematics, Discrete mathematics

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