3 papers
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…
math.AG2025
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-…