1 citations · 1 across the 9 of their papers we have counts for
9 papers
Quasi--singularities and singularities in birational geometry
Tatsuro Kawakami, Shunsuke Takagi, Shou Yoshikawa
We give an overview of the theory of quasi--singularities, focusing on their connection with singularities in birational geometry.
Mumford vanishing for threefolds in positive characteristic
Tatsuro Kawakami, Hiromu Tanaka
Let be a projective klt threefold in characteristic and let be a nef Cartier divisor on . We show that for the following two cases: (1) is not…
Liftability and vanishing theorems for Fano threefolds in positive characteristic I
Tatsuro Kawakami, Hiromu Tanaka
In our series of papers, we prove that smooth Fano threefolds in positive characteristic lift to the ring of Witt vectors. Moreover, we show that they satisfy Akizuki-Nakano vanish…
Higher F-injective singularities
Tatsuro Kawakami, Jakub Witaszek
We introduce the concept of higher -injectivity, a generalisation of -injectivity. We prove that an isolated singularity over a field of characteristic zero is -Du Bois if…
Threefolds of globally -regular type with nef anti-canonical divisor
Paolo Cascini, Tatsuro Kawakami, Shunsuke Takagi
As a special case of a conjecture by Schwede and Smith, we prove that a smooth complex projective threefold with nef anti-canonical divisor is weak Fano if it is of globally -re…
Quasi-F-splittings in birational geometry III
Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3
We prove that -Gorenstein quasi--regular singularities are klt. To this end, we shall introduce quasi-test ideals.
Weak quasi--splitting and del Pezzo varieties
Tatsuro Kawakami, Hiromu Tanaka
We show that smooth del Pezzo varieties in positive characteristic are quasi--split. To this end, we introduce weak quasi--splitting and we prove that general ladders of smoo…
Global -regularity for weak del Pezzo surfaces
Tatsuro Kawakami, Hiromu Tanaka
Let be an algebraically closed field of characteristic . Let be a normal projective surface over with canonical singularities whose anti-canonical divisor is nef a…
Liftability and vanishing theorems for Fano threefolds in positive characteristic II
Tatsuro Kawakami, Hiromu Tanaka
In our series of papers, we prove that smooth Fano threefolds in positive characteristic lift to the ring of Witt vectors. Moreover, we show that they satisfy Akizuki-Nakano vanish…