English

A canonical Fano threefold has degree $\leq 72$

Algebraic Geometry 2025-10-09 v1

Abstract

We show that the anti-canonical volume of a canonical weak Fano 33-fold is at most 7272. This upper bound is optimal.

Keywords

Cite

@article{arxiv.2510.06856,
  title  = {A canonical Fano threefold has degree $\leq 72$},
  author = {Chen Jiang and Tianqi Zhang and Yu Zou},
  journal= {arXiv preprint arXiv:2510.06856},
  year   = {2025}
}

Comments

17 pages, comments are welcome