Volume of components of Lelong upper-level sets

Autor:	Thai, Do Duc, Vu, Duc-Viet
Rok vydání:	2023
Předmět:	Mathematics - Complex Variables Mathematics - Algebraic Geometry 32U15 32Q15
Druh dokumentu:	Working Paper
Popis:	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. Comment: to appear in JGEA
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.05960 Zobrazit plný text záznamu View this record from Arxiv