Quasi-$F$-singularities and singularities in birational geometry

Tatsuro Kawakami; Shunsuke Takagi; Shou Yoshikawa

Quasi-$F$-singularities and singularities in birational geometry

Algebraic Geometry 2026-06-30 v1 Commutative Algebra

Authors: Tatsuro Kawakami , Shunsuke Takagi , Shou Yoshikawa

Abstract

We give an overview of the theory of quasi- $F$ -singularities, focusing on their connection with singularities in birational geometry.

Keywords

quasi-F-singularities birational geometry singularities positive characteristic overview

Cite

@article{arxiv.2606.31666,
  title  = {Quasi-$F$-singularities and singularities in birational geometry},
  author = {Tatsuro Kawakami and Shunsuke Takagi and Shou Yoshikawa},
  journal= {arXiv preprint arXiv:2606.31666},
  year   = {2026}
}

Comments

35 pages, Submitted to the Proceedings of the 2025 Summer Research Institute in Algebraic Geometry