Hirotaka Onuki

activity

20242026

collaborators

4 papers

math.AG2026

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…

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.NA2024

On the Complexity of Interpolation by Polynomials with Non-negative Real Coefficients

Katsuyuki Bando, Eitetsu Ken, Hirotaka Onuki

In this paper, we consider interpolation by \textit{completely monotonous} polynomials (CMPs for short), that is, polynomials with non-negative real coefficients. In particular, gi…

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

On the Complexity of Interpolation by Polynomials with Non-negative Real Coefficients

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

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