3 papers
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
Lifting globally -split surfaces to characteristic zero
Fabio Bernasconi, Iacopo Brivio, Tatsuro Kawakami +1
We prove that every globally -split surface admits an equisingular lifting over the ring of Witt vectors.
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…