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arXiv · 2510.19308

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

Hirotaka Onuki·Teppei Takamatsu·Shou Yoshikawa
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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.

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Hirotaka Onuki, Teppei Takamatsu, Shou Yoshikawa. 2025-10-22. Quasi-$F$-splitting and smooth weak del Pezzo surfaces in mixed characteristic. https://arxiv.org/abs/2510.19308

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