On the Briancon-Skoda theorem on a singular variety

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Andersson, Mats
Samuelsson, Håkan
Sznajdman, Jacob
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Abstract
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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.
Keywords
Mathematics - Complex Variables, Mathematics - Algebraic Geometry, 32C30, 13P10, 32A26, 32A27
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