3 papers
math.AG2020
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…
math.AG2020
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.
math.AG2019
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…