Volume of components of Lelong upper-level sets

2023/01/14 by Thai, Do Duc, Vu, Duc-Viet · 1 citation
#32Q15 #32U15 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2301.05960

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.

Cited by

• Relative non-pluripolar product of currents on compact Hermitian manifolds

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