Kenta Sato

collaborators

2 papers

math.AG2025

Extending one-forms on $F$ -regular singularities

Tatsuro Kawakami, Kenta Sato

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

math.AG2024

Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic

Kenta Sato

In this paper, we give a partial affirmative answer to the BAB conjecture for $3$ -folds in characteristic $p > 5$ . Specifically, we prove that a set $D$ of weak Fano $3$ -fo…

Extending one-forms on F-regular singularities

Boundedness of weak Fano threefolds with fixed Gorenstein index in positive characteristic

Extending one-forms on $F$ -regular singularities