4 citations · 14 across the 13 of their papers we have counts for
13 papers
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…
Endomorphisms of varieties and Bott vanishing
Tatsuro Kawakami, Burt Totaro
We show that a projective variety with an int-amplified endomorphism of degree invertible in the base field satisfies Bott vanishing. This is a new way to analyze which varieties h…
On the Kawamata-Viehweg vanishing theorem for log Calabi-Yau surfaces in large characteristic
Tatsuro Kawakami
We prove that the Kawamata-Viehweg vanishing theorem holds for a log Calabi-Yau surface over an algebraically closed field of large characteristic when has standard co…
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…
Extendability of differential forms via Cartier operators
Tatsuro Kawakami
Let be a normal variety over a perfect field of positive characteristic and a reduced divisor on . We prove that if the Cartier isomorphism on the log smooth locus of $(…
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.
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-…
Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic
Tatsuro Kawakami
We show that the Bogomolov-Sommese vanishing theorem holds for a log canonical projective surface in large characteristic unless the Iitaka dimension of the round-down of the log c…
Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three
Tatsuro Kawakami, Masaru Nagaoka
In this paper, we classify Du Val del Pezzo surfaces of Picard rank one in characteristic two and three. We also show that if a Du Val del Pezzo surface is Frobenius split, then a…
Pathologies and liftability of Du Val del Pezzo surfaces in positive characteristic
Tatsuro Kawakami, Masaru Nagaoka
In this paper, we study pathologies of Du Val del Pezzo surfaces defined over an algebraically closed field of positive characteristic by relating them to their non-liftability to…
On singularity types of del Pezzo surfaces with rational double points in positive characteristic
Tatsuro Kawakami, Masaru Nagaoka
In this paper, we prove that a pair of the minimal resolution of a del Pezzo surface with rational double points whose general anti-canonical member is smooth and its exceptional d…
On Kawamata--Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic
Tatsuro Kawakami
In this paper, we prove a Kawamata--Viehweg type vanishing theorem for smooth Fano threefolds, canonical del Pezzo surfaces and del Pezzo fibrations in positive characteristic.
Bogomolov--Sommese type vanishing for globally -regular threefolds
Tatsuro Kawakami
In this paper, we show that every invertible subsheaf of the cotangent bundle of a smooth globally -regular threefold of characteristic has Iitaka dimension less than or e…