English

On smooth Fano threefolds with coregularity zero

Algebraic Geometry 2024-09-05 v1

Abstract

We provide examples of smooth three-dimensional Fano complete intersections of dergee 2, 4, 6, and 8 that have coregularity 0. Considering the main theorem of arXiv:2309.16784 on the remaining 101 families of smooth Fano threefolds, our result implies that each family of smooth Fano threefolds has an element of coregularity zero.

Keywords

Cite

@article{arxiv.2409.02523,
  title  = {On smooth Fano threefolds with coregularity zero},
  author = {Olzhas Zhakupov},
  journal= {arXiv preprint arXiv:2409.02523},
  year   = {2024}
}

Comments

22 pages

R2 v1 2026-06-28T18:33:42.130Z