3 papers
math.AG2019
On p-power freeness in positive characteristic
Hiromu Tanaka
In this note, we study base point freeness up to taking p-power, which we will call p-power freeness. We first establish some criteria for p-power freeness as analogues of criteria…
math.AG2019
Invariants of algebraic varieties over imperfect fields
Hiromu Tanaka
We introduce four invariants of algebraic varieties over imperfect fields, each of which measures either geometric non-normality or geometric non-reducedness. The first objective o…
math.AG2013
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…