Pathologies on Mori fibre spaces in positive characteristic
Algebraic Geometry
2018-10-05 v3
Abstract
We show that there exist Mori fibre spaces whose total spaces are klt but bases are not. We also construct Mori fibre spaces which have relatively non-trivial torsion line bundles.
Cite
@article{arxiv.1609.00574,
title = {Pathologies on Mori fibre spaces in positive characteristic},
author = {Hiromu Tanaka},
journal= {arXiv preprint arXiv:1609.00574},
year = {2018}
}
Comments
25 pages, v2:minor revisions, v3: minor revisions. To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci