Hirotaka Onuki

activity

20242026

collaborators

Showing math.AGShow all

3 papers · 1 filter

math.AG2026

Global $+$ -regularity of regular del Pezzo surfaces in mixed characteristic

Hirotaka Onuki

Let $R = W (k)$ be the ring of Witt vectors over an algebraically closed field $k$ of characteristic $p > 2$ . Let $M$ be a three-dimensional regular integral flat projective $R$ -sch…

math.AG2025

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

Hirotaka Onuki, Teppei Takamatsu, Shou Yoshikawa

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…

math.AG2024

On the effective generation of direct images of pluricanonical bundles in mixed characteristic

Hirotaka Onuki

We present an effective global generation result for direct images of pluricanonical bundles in mixed characteristic. This is a mixed characteristic analog of Ejiri's theorem in po…

Global +-regularity of regular del Pezzo surfaces in mixed characteristic

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

On the effective generation of direct images of pluricanonical bundles in mixed characteristic

Global $+$ -regularity of regular del Pezzo surfaces in mixed characteristic

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