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arXiv · 1103.4626

Uniformisation de l'espace des feuilles de certains feuilletages de codimension 1

Frederic Touzet
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Abstract

This paper deals with codimension one (may be singular) foliations on compact Kälher manifolds whose conormal bundle is assumed to be pseudo-effective. Using currents with minimal singularities, we show that one can endow the space of leaves with a metric of constant non positive curvature wich may degenerate on a rigidly embedded invariant hypersurface.

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Frederic Touzet. 2011-03-23. Uniformisation de l'espace des feuilles de certains feuilletages de codimension 1. https://arxiv.org/abs/1103.4626

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