30 citations · 200 across the 41 of their papers we have counts for
6 papers · 1 filter
Pathologies on Mori fibre spaces in positive characteristic
Hiromu Tanaka
We show that there exist Mori fibre spaces whose total spaces are klt but bases are not. We also construct Mori fibre spaces which have relatively non-trivial torsion line bundles.
Minimal model program for excellent surfaces
Hiromu Tanaka
We establish the minimal model program for log canonical and Q-factorial surfaces over excellent base schemes.
Purely log terminal threefolds with non-normal centres in characteristic two
Paolo Cascini, Hiromu Tanaka
We show that many classical results of the minimal model programme do not hold over an algebraically closed field of characteristic two. Indeed, we construct a three dimensional pl…
Smooth rational surfaces violating Kawamata-Viehweg vanishing
Paolo Cascini, Hiromu Tanaka
We show that over any algebraically closed field of positive characteristic, there exists a smooth rational surface which violates Kawamata-Viehweg vanishing.
Klt del Pezzo surfaces which are not globally F-split
Paolo Cascini, Hiromu Tanaka, Jakub Witaszek
We construct a klt del Pezzo surface which is not globally F-split, over any algebraically closed field of positive characteristic.
On log del Pezzo surfaces in large characteristic
Paolo Cascini, Hiromu Tanaka, Jakub Witaszek
We show that any Kawamata log terminal del Pezzo surface over an algebraically closed field of large characteristic is globally F-regular or it admits a log resolution which is lif…