10 citations · 11 across the 2 of their papers we have counts for
10 papers
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…
Fano threefolds in positive characteristic I
Hiromu Tanaka
Over an algebraically closed field of positive characteristic, we classify smooth Fano threefolds of Picard number one whose anti-canonical linear systems are not very ample. Furth…
Fano threefolds in positive characteristic IV
Hiromu Tanaka
Based on the former parts, we classify smooth Fano threefolds of positive characteristic.
Fano threefolds in positive characteristic III
Masaya Asai, Hiromu Tanaka
We classify primitive Fano threefolds in positive characteristic whose Picard numbers are at least two. We also classify Fano theefolds of Picard rank two.
Elliptic singularities and threefold flops in positive characteristic
Hiromu Tanaka
Let be a smooth threefold over an algebraically closed field of positive characteristic. We prove that an arbitrary flop of is smooth. To this end, we study Gorenstein curv…
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…