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arXiv · 1803.02774

Kaehler-Einstein Fano threefolds of degree 22

Ivan Cheltsov·Constantin Shramov
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Abstract

We study the problem of existence of K\"ahler--Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree $22$ that admit a faithful action of the multiplicative group $\mathbb{C}^\ast$. We prove that, except possibly two explicitly described cases, all such smooth Fano threefolds are K\"ahler--Einstein.

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Ivan Cheltsov, Constantin Shramov. 2018-03-07. Kaehler-Einstein Fano threefolds of degree 22. https://arxiv.org/abs/1803.02774

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