English

Lelong numbers on projective varieties

Complex Variables 2010-11-25 v1 Algebraic Geometry

Abstract

Given a positive closed (1,1)-current TT defined on the regular locus of a projective variety XX with bounded mass near the singular part of XX and YY an irreducible algebraic subset of XX, we present uniform estimates for the locus inside YY where the Lelong numbers of TT are larger than the generic Lelong number of TT along YY.

Keywords

Cite

@article{arxiv.1011.5257,
  title  = {Lelong numbers on projective varieties},
  author = {Manuel Rodrigo Parra},
  journal= {arXiv preprint arXiv:1011.5257},
  year   = {2010}
}
R2 v1 2026-06-21T16:48:10.856Z