3 papers
math.AG2025
Fedder type criteria for quasi--splitting I
Tatsuro Kawakami, Teppei Takamatsu, Shou Yoshikawa
Yobuko recently introduced the notion of quasi--splitting and quasi--split heights, which generalize and quantify the notion of Frobenius-splitting, and proved that quasi-…
math.AG2024
Quasi-F-splittings in birational geometry
Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3
We develop the theory of quasi--splittings in the context of birational geometry. Amongst other things, we obtain results on liftability of sections and establish a criterion fo…
math.AG2024
Quasi-F-splittings in birational geometry II
Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3
Over an algebraically closed field of characteristic , we prove that three-dimensional -factorial affine klt varieties are quasi--split. Furthermore, we show th…