English

On the Briancon-Skoda theorem on a singular variety

Complex Variables 2011-01-25 v2 Algebraic Geometry

Abstract

Let ZZ be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briancon-Skoda theorem for the local ring OZ\mathcal{O}_Z; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results.

Keywords

Cite

@article{arxiv.0806.3700,
  title  = {On the Briancon-Skoda theorem on a singular variety},
  author = {Mats Andersson and Håkan Samuelsson and Jacob Sznajdman},
  journal= {arXiv preprint arXiv:0806.3700},
  year   = {2011}
}
R2 v1 2026-06-21T10:53:28.334Z