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arXiv · 2301.05960

Volume of components of Lelong upper-level sets

Do Duc Thai·Duc-Viet Vu
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Abstract

We prove an upper bound for the volume of maximal analytic sets on which the generic Lelong number of a closed positive current is positive. As a particular case, we give a uniform upper bound on the volume of the singular locus of an analytic set in terms of its volume on a compact Kahler manifold.

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Do Duc Thai, Duc-Viet Vu. 2023-01-14. Volume of components of Lelong upper-level sets. https://arxiv.org/abs/2301.05960

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