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arXiv · 1903.07074

Alpha invariants of birationally bi-rigid Fano 3-folds I

In-Kyun Kim·Takuzo Okada·Joonyeong Won
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Abstract

We compute global log canonical thresholds of certain birationally bi-rigid Fano 3-folds embedded in weighted projective spaces as complete intersections of codimension 2 and prove that they admit an orbifold K\"{a}hler-Einstein metric and are K-stable. As an application, we give examples of super-rigid affine Fano 4-folds.

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In-Kyun Kim, Takuzo Okada, Joonyeong Won. 2019-03-17. Alpha invariants of birationally bi-rigid Fano 3-folds I. https://arxiv.org/abs/1903.07074

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