On the Briancon-Skoda theorem on a singular variety

Abstract

Let $Z$ 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 ${\mathcal{O}}_Z$; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results.

References in corpus (3)

• Koppelman formulas and the $\dbar$-equation on an analytic space
• On Bochner-Martinelli residue currents and their annihilator ideals
• A residue criterion for strong holomorphicity

Cited by in corpus (1)

• Regularizations of residue currents