30 citations · 200 across the 41 of their papers we have counts for
8 papers · 1 filter
A Witt Nadel vanishing theorem for threefolds
Yusuke Nakamura, Hiromu Tanaka
In this paper, we establish a vanishing theorem of Nadel type for the Witt multiplier ideals on threefolds over perfect fields of characteristic larger than five. As an application…
Minimal model program for log canonical threefolds in positive characteristic
Kenta Hashizume, Yusuke Nakamura, Hiromu Tanaka
Given a three-dimensional projective log canonical pair over a perfect field of characteristic larger than five, there exists a minimal model program that terminates after finitely…
Zariskian adic spaces
Hiromu Tanaka
We introduce a Zariskian analogue of the theory of Huber's adic spaces.
Vanishing theorems of Kodaira type for Witt canonical sheaves
Hiromu Tanaka
Given a smooth projective variety over a perfect field of positive characteristic, we prove that the higher cohomologies vanish for the tensor product of the Witt canonical sheaf a…
Relative semi-ampleness in positive characteristic
Paolo Cascini, Hiromu Tanaka
Given an invertible sheaf on a fibre space between projective varieties of positive characteristic, we show that fibrewise semi-ampleness implies relative semi-ampleness. The same…
Infinite dimensional excellent rings
Hiromu Tanaka
In this note, we prove that there exist infinite dimensional excellent rings.
Infinitely generated symbolic Rees algebras over finite fields
Akiyoshi Sannai, Hiromu Tanaka
For the polynomial ring over an arbitrary field with twelve variables, there exists a prime ideal whose symbolic Rees algebra is not finitely generated.
A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf II
Sho Ejiri, Akiyoshi Sannai
In this paper, we prove that a smooth projective variety of characteristic is an ordinary abelian variety if and only if is pseudo-effective and …