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arXiv · 1305.0864

Geometric properties of upper level sets of Lelong numbers on projective spaces

Dan Coman·Tuyen Trung Truong
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Abstract

Let $T$ be a positive closed current of unit mass on the complex projective space $\mathbb P^n$. For certain values $α<1$, we prove geometric properties of the set of points in $\mathbb P^n$ where the Lelong number of $T$ exceeds $α$. We also consider the case of positive closed currents of bidimension (1,1) on multiprojective spaces.

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Dan Coman, Tuyen Trung Truong. 2013-05-04. Geometric properties of upper level sets of Lelong numbers on projective spaces. https://arxiv.org/abs/1305.0864

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