English

Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem

Complex Variables 2016-03-21 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1603.05728,
  title  = {Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem},
  author = {Qi'an Guan and Xiangyu Zhou},
  journal= {arXiv preprint arXiv:1603.05728},
  year   = {2016}
}

Comments

5 pages, revised version

R2 v1 2026-06-22T13:13:41.033Z