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arXiv · 2010.03796

Harmonic currents directed by foliations by Riemann surfaces

Tien-Cuong Dinh·Hao Wu
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Abstract

We study local positive harmonic currents directed by a foliation by Riemann surfaces near a hyperbolic singularity which have no mass on the separatrices. A theorem of Nguy\^en says that the Lelong number of such a current at the singular point vanishes. We prove that this property is sharp: one cannot have any better mass estimate for this current near the singularity.

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Tien-Cuong Dinh, Hao Wu. 2020-10-08. Harmonic currents directed by foliations by Riemann surfaces. https://arxiv.org/abs/2010.03796

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