30 citations · 200 across the 41 of their papers we have counts for
6 papers · 1 filter
Counter-examples to the minimal model theory in characteristic two
Hiromu Tanaka
In this paper, we show that the minimal model theory does not hold in characteristic two. More precisely, we construct counter-examples to the relative abundance conjecture.
On Rational Connectedness of Globally F-Regular Threefolds
Yoshinori Gongyo, Zhiyuan Li, Zsolt Patakfalvi +3
In this paper, we show that projective globally -regular threefolds, defined over an algebraically closed field of characteristic , are rationally chain connected.
On base point freeness in positive characteristic
Paolo Cascini, Hiromu Tanaka, Chenyang Xu
We prove that if is a pair defined over an algebraically closed field of positive characteristic such that is strongly -regular, is ample and is…
Effective freeness and very ampleness in positive characteristic
Hiromu Tanaka
In this paper, we establish a basepoint free theorem of Angehrn-Siu type in positive characteristic. Moreover, we also give an effective bound for very ampleness in arbitrary chara…
The trace map of Frobenius and extending sections for threefolds
Hiromu Tanaka
In this paper, by using the trace map of Frobenius, we consider problems on extending sections for positive characteristic threefolds.
Abundance theorem for semi log canonical surfaces in positive characteristic
Hiromu Tanaka
We prove the abundance theorem for semi log canonical surfaces in positive characteristic.