论文标题

由Riemann表面叶子指导的谐波电流

Harmonic currents directed by foliations by Riemann surfaces

论文作者

Dinh, Tien-Cuong, Wu, Hao

论文摘要

我们研究由双曲线奇异性附近的Riemann表面引导的局部正谐波电流,分离量没有质量。 Nguyên定理说,这种奇异点的lelong数量消失了。我们证明了这一特性很清晰:对于奇异性附近的这一电流,一个人无法获得更好的质量估计。

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 Nguyên 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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