On the Briancon-Skoda theorem on a singular variety

preprint2009arXivOpen access

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.

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