Relative semi-ampleness in positive characteristic
File(s)
Accepted version
Author(s)
Cascini, Paolo
Tanaka, Hiromu
Type
Journal Article
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.
positive characteristic, we show that fibrewise semi-ampleness implies relative
semi-ampleness. The same statement fails in characteristic zero.
Date Issued
2020-09-01
Date Acceptance
2020-01-20
Citation
Proceedings of the London Mathematical Society, 2020, 121 (3), pp.617-655
ISSN
0024-6115
Publisher
London Mathematical Society
Start Page
617
End Page
655
Journal / Book Title
Proceedings of the London Mathematical Society
Volume
121
Issue
3
Copyright Statement
© 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence. This is the peer reviewed version of the following article, which has been published in final form at https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/plms.12323. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
Identifier
http://arxiv.org/abs/1706.04845v1
Subjects
math.AG
math.AG
14C20, 14G17
Notes
52 pages
Publication Status
Published
Date Publish Online
2020-05-02