Relative semi-ampleness in positive characteristic
Algebraic Geometry
2020-05-13 v2
Abstract
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 statement fails in characteristic zero.
Keywords
Cite
@article{arxiv.1706.04845,
title = {Relative semi-ampleness in positive characteristic},
author = {Paolo Cascini and Hiromu Tanaka},
journal= {arXiv preprint arXiv:1706.04845},
year = {2020}
}
Comments
52 pages. Final version to appear in the Proceedings of the London Mathematical Society