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

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

2011-03-23

arxiv.org/abs/1103.4626v1

Mathematics

Complex Variables

24 pages

Scientific paper

This paper deals with codimension one (may be singular) foliations on compact
K\"alher 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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