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arXiv · 1409.3445

Feuilletages holomorphes admettant une mesure transverse invariante

Frederic Touzet
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Abstract

Let $\cal{F}$ be a regular codimension 1 holomorphic foliation on a compact K\" ahler manifold. One assumes in addition that $\cal{F}$ possesses a transverse invariant positive current. The aim of this paper is to establish the following alternative: - There exists an invariant hypersurface. - The foliation admits a transverse invariant hermitian metric with constant curvature

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Frederic Touzet. 2014-09-11. Feuilletages holomorphes admettant une mesure transverse invariante. https://arxiv.org/abs/1409.3445

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