English

On Fano threefolds of degree 22 after Cheltsov and Shramov

Algebraic Geometry 2021-07-13 v1 Differential Geometry

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 K\"ahler-Einstein metrics. In this paper, we show that the remaining Fano threefolds also admit K\"ahler-Einstein metrics.

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Cite

@article{arxiv.2107.04816,
  title  = {On Fano threefolds of degree 22 after Cheltsov and Shramov},
  author = {Kento Fujita},
  journal= {arXiv preprint arXiv:2107.04816},
  year   = {2021}
}

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14 pages