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arXiv · 0810.1924

Extremal metrics on del Pezzo threefolds

Ivan Cheltsov·Constantin Shramov
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Abstract

We prove the existence of Kahler-Einstein metrics on a nonsingular section of the Grassmannian $\mathrm{Gr}(2, 5)\subset\mathbb{P}^9$ by a linear subspace of codimension 3, and the Fermat hypersurface of degree 6 in $\mathbb{P}(1,1,1,2,3)$. We also show that a global log canonical threshold of the Mukai--Umemura variety is equal to 1/2.

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Ivan Cheltsov, Constantin Shramov. 2009-02-07. Extremal metrics on del Pezzo threefolds. https://arxiv.org/abs/0810.1924

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