Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem
Qi'an Guan, Xiangyu Zhou
TL;DR
This paper explores the relationship between Lelong numbers and complex singularity exponents, providing a new proof of Siu's semicontinuity theorem for Lelong numbers using this relationship.
Contribution
It introduces a novel connection between Lelong numbers and complex singularity exponents and offers a new proof of Siu's semicontinuity theorem.
Findings
Established a relationship between Lelong numbers and complex singularity exponents
Provided a new proof of Siu's semicontinuity theorem for Lelong numbers
Enhanced understanding of singularity behavior in complex analysis
Abstract
In this note, we present a relationship between Lelong numbers and complex singularity exponents. As an application, we obtain a new proof of Siu's semicontinuity theorem for Lelong numbers.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory