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arXiv · 2107.04816

On Fano threefolds of degree 22 after Cheltsov and Shramov

Kento Fujita
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Abstract

It has been known that nonsingular Fano threefolds of Picard rank one with the anti-canonical degree 22 admitting faithful actions of the multiplicative group form a one-dimensional family. Cheltsov and Shramov showed that all but two of them admit Kähler-Einstein metrics. In this paper, we show that the remaining Fano threefolds also admit Kähler-Einstein metrics.

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Kento Fujita. 2021-07-10. On Fano threefolds of degree 22 after Cheltsov and Shramov. https://arxiv.org/abs/2107.04816

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