collaborators

4 papers

math.AG2026

A cusp surface singularity is Frobenius liftable

Tatsuro Kawakami, Teppei Takamatsu

We show that a cusp surface singularity is Frobenius liftable. As a consequence, we determine all the Frobenius liftable surface singularities.

math.AG2026

Extending one-forms on -regular singularities

Tatsuro Kawakami, Kenta Sato

We prove the logarithmic extension theorem for one-forms on strongly -regular singularities. Additionally, we establish the logarithmic extension theorem for one-forms on three-…

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

On Steenbrink vanishing for rational singularities in positive characteristic

Tatsuro Kawakami

We show a special case of Steenbrink vanishing for rational singularities in positive characteristic. As a consequence, we prove that strongly -regular threefolds and klt threef…