Quasi-F-splittings in birational geometry III

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

Quasi-F-splittings in birational geometry III

Algebraic Geometry 2026-02-17 v3 Commutative Algebra

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

Abstract

We prove that $\mathbb Q$ -Gorenstein quasi- $F$ -regular singularities are klt. To this end, we shall introduce quasi-test ideals.

Keywords

quasi-F-regular klt singularities test ideals birational geometry

Cite

@article{arxiv.2408.01921,
  title  = {Quasi-F-splittings in birational geometry III},
  author = {Tatsuro Kawakami and Teppei Takamatsu and Hiromu Tanaka and Jakub Witaszek and Fuetaro Yobuko and Shou Yoshikawa},
  journal= {arXiv preprint arXiv:2408.01921},
  year   = {2026}
}