English

K-stable Fano threefolds of rank 2 and degree 28

Algebraic Geometry 2025-07-17 v2

Abstract

We prove that all smooth Fano threefolds with Picard rank 2 and degree 28 are K-polystable, except for some explicit cases which we describe. We also give a classification of the normal bundle of a rational normal quartic curve in a smooth quadric threefold.

Keywords

Cite

@article{arxiv.2304.12295,
  title  = {K-stable Fano threefolds of rank 2 and degree 28},
  author = {Joseph Malbon},
  journal= {arXiv preprint arXiv:2304.12295},
  year   = {2025}
}

Comments

24 pages