On base point freeness for rank one foliations

Fuente: arXiv
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Auteurs principaux: Cascini, Paolo, Spicer, Calum
Format: Preprint
Publié: 2025
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author Cascini, Paolo
Spicer, Calum
author_facet Cascini, Paolo
Spicer, Calum
contents We prove the base point free theorem for log canonical foliated pairs of rank one on a Q-factorial projective klt threefold. Moreover, we show abundance in the case of numerically trivial log canonical foliated pairs of rank one in any dimension.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03109
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On base point freeness for rank one foliations
Cascini, Paolo
Spicer, Calum
Algebraic Geometry
14E30, 37F75
We prove the base point free theorem for log canonical foliated pairs of rank one on a Q-factorial projective klt threefold. Moreover, we show abundance in the case of numerically trivial log canonical foliated pairs of rank one in any dimension.
title On base point freeness for rank one foliations
topic Algebraic Geometry
14E30, 37F75
url https://arxiv.org/abs/2509.03109