Quasi-F-splittings in birational geometry II

Tatsuro Kawakami; Teppei Takamatsu; Hiromu Tanaka; Jakub Witaszek; Fuetaro Yobuko; Shou Yoshikawa

Quasi-F-splittings in birational geometry II

Algebraic Geometry 2024-04-23 v4 Commutative Algebra

Authors: Tatsuro Kawakami , Teppei Takamatsu , Hiromu Tanaka , Jakub Witaszek , Fuetaro Yobuko , Shou Yoshikawa

Abstract

Over an algebraically closed field of characteristic $p>41$ , we prove that three-dimensional $\mathbb Q$ -factorial affine klt varieties are quasi- $F$ -split. Furthermore, we show that the bound on the characteristic is optimal.

Keywords

quasi-f-splitting birational geometry klt varieties algebraically closed field characteristic p optimal bound

Cite

@article{arxiv.2302.13235,
  title  = {Quasi-F-splittings in birational geometry II},
  author = {Tatsuro Kawakami and Teppei Takamatsu and Hiromu Tanaka and Jakub Witaszek and Fuetaro Yobuko and Shou Yoshikawa},
  journal= {arXiv preprint arXiv:2302.13235},
  year   = {2024}
}

Comments

81 pages, typos in Notation 6.1 corrected, final version, to appear in Proceedings of the London Mathematical Society

Quasi-F-splittings in birational geometry II

Abstract

Keywords

Cite

Comments

Related papers