Volume of components of Lelong upper-level sets
Complex Variables
2023-06-27 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2301.05960,
title = {Volume of components of Lelong upper-level sets},
author = {Do Duc Thai and Duc-Viet Vu},
journal= {arXiv preprint arXiv:2301.05960},
year = {2023}
}
Comments
to appear in JGEA