On the MMP for rank one foliations on threefolds

Cascini, Paolo; Spicer, Calum

doi:https://www.dx.doi.org/10.1007/s00222-021-01037-1

File(s)

Cascini-Spicer2021_Article_MMPForCo-rankOneFoliationsOnTh.pdf (767.74 KB)

Published version

OA Location

https://link.springer.com/content/pdf/10.1007/s00222-021-01037-1.pdf

Author(s)

Cascini, Paolo

Spicer, Calum

Type

preprint

Abstract

We prove existence of flips and the base point free theorem for log canonical
foliated pairs of rank one on a Q-factorial projective klt threefold. This, in
particular, provides a proof of the existence of a minimal model for a rank one
foliation on a threefold for a wider range of singularities, after McQuillan.
Moreover, we show abundance in the case of numerically trivial log canonical
foliated pairs of rank one.

Date Acceptance

2021-01-28

Citation

Inventiones Mathematicae, 225, pp.603-690

URI

http://hdl.handle.net/10044/1/94032

URL

https://link.springer.com/article/10.1007%2Fs00222-021-01037-1

DOI

https://www.dx.doi.org/10.1007/s00222-021-01037-1

ISSN

0020-9910

Publisher

Springer

Start Page

603

End Page

690

Journal / Book Title

Inventiones Mathematicae

Volume

225

Copyright Statement

License URL

http://creativecommons.org/licenses/by/4.0/

Identifier

http://arxiv.org/abs/2012.11433v1

Subjects

math.AG

14E30, 37F75

Notes

82 pages