Quasi-$F$-splitting and smooth weak del Pezzo surfaces in mixed characteristic

Hirotaka Onuki; Teppei Takamatsu; Shou Yoshikawa

Quasi-$F$-splitting and smooth weak del Pezzo surfaces in mixed characteristic

Algebraic Geometry 2025-11-25 v2

Authors: Hirotaka Onuki , Teppei Takamatsu , Shou Yoshikawa

Abstract

We introduce the notion of quasi- $F$ -splitting in mixed characteristic and study Kodaira-type vanishing on quasi- $F$ -splitting varieties. As an application, we prove a Kodaira-type vanishing on lifts of rational double point (RDP) del Pezzo surfaces.

Keywords

quasi-F-splitting mixed characteristic Kodaira vanishing rational double points del Pezzo surfaces algebraic geometry

Cite

@article{arxiv.2510.19308,
  title  = {Quasi-$F$-splitting and smooth weak del Pezzo surfaces in mixed characteristic},
  author = {Hirotaka Onuki and Teppei Takamatsu and Shou Yoshikawa},
  journal= {arXiv preprint arXiv:2510.19308},
  year   = {2025}
}

Comments

17 pages. The title has changed, the previous title is "Quasi-$F$-splitting of smooth weak del Pezzo in mixed characteristic"

Quasi-$F$-splitting and smooth weak del Pezzo surfaces in mixed characteristic

Abstract

Keywords

Cite

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