collaborators

4 papers

math.AC2026

Quasi--split height versus quasi--regular height for rational double points and graded rings

Teppei Takamatsu, Shou Yoshikawa

In this paper, we study a phenomenon concerning quasi--singularities: under suitable hypotheses, the finiteness of the quasi--split height () i…

math.AG2025

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

Hirotaka Onuki, Teppei Takamatsu, Shou Yoshikawa

We introduce the notion of quasi--splitting in mixed characteristic and study Kodaira-type vanishing on quasi--splitting varieties. As an application, we prove a Kodaira-type…

math.AG2025

Fedder type criteria for quasi--splitting II

Tatsuro Kawakami, Teppei Takamatsu, Shou Yoshikawa

In this paper, we apply Fedder-type criteria for quasi--splitting to provide explicit computations of quasi--split heights for Calabi-Yau hypersurfaces, bielliptic surfaces,…

math.AG2025

Fedder-type criterion for quasi--splitting and quasi--regularity

Shou Yoshikawa

We study quasi--split and quasi--regular singularities, which generalize Yobuko's quasi--splitting. We establish Fedder type criteria that characterize these properties…