English

K-stable smooth Fano threefolds of Picard rank two

Algebraic Geometry 2024-01-17 v2

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.

Keywords

Cite

@article{arxiv.2210.14770,
  title  = {K-stable smooth Fano threefolds of Picard rank two},
  author = {Ivan Cheltsov and Elena Denisova and Kento Fujita},
  journal= {arXiv preprint arXiv:2210.14770},
  year   = {2024}
}

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63 pages