On the MMP for rank one foliations on threefolds
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Author(s)
Cascini, Paolo
Spicer, Calum
Type
Journal Article
Abstract
We prove existence of flips 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.
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.
Date Issued
2025-09-25
Date Acceptance
2025-06-10
Citation
Forum of Mathematics, Pi, 2025, 13
ISSN
2050-5086
Publisher
Cambridge University Press
Journal / Book Title
Forum of Mathematics, Pi
Volume
13
Copyright Statement
© The Author(s), 2025. Published by Cambridge University Press. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
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Subjects
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
Publication Status
Published
Article Number
e20
Date Publish Online
2025-09-25
