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arXiv · 2210.14770

K-stable smooth Fano threefolds of Picard rank two

Ivan Cheltsov·Elena Denisova·Kento Fujita
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Abstract

We prove that all smooth Fano threefolds in the families 2.1, 2.2, 2.3, 2.4, 2.6 and 2.7 are K-stable, and we also prove that smooth Fano threefolds in the family 2.5 that satisfy one very explicit generality condition are K-stable.

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Ivan Cheltsov, Elena Denisova, Kento Fujita. 2022-10-26. K-stable smooth Fano threefolds of Picard rank two. https://arxiv.org/abs/2210.14770

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