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arxiv: 1903.07074 · v1 · pith:D5H6PQEZnew · submitted 2019-03-17 · 🧮 math.AG

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

classification 🧮 math.AG
keywords fanofoldsbi-rigidbirationallyadmitaffinealphaapplication
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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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