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arXiv · 1604.00252

Alpha invariants of birationally rigid Fano threefolds

In-Kyun Kim·Takuzo Okada·Joonyeong Won
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Abstract

We compute global log canonical thresholds, or equivalently alpha invariants, of birationally rigid orbifold Fano threefolds embedded in weighted projective spaces as codimension two or three. As an important application, we prove that most of them are weakly exceptional, $K$-stable and admit K\"{a}hler--Einstien metric.

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In-Kyun Kim, Takuzo Okada, Joonyeong Won. 2016-04-01. Alpha invariants of birationally rigid Fano threefolds. https://arxiv.org/abs/1604.00252

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