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arXiv · 0806.3700

On the Briancon-Skoda theorem on a singular variety

Mats Andersson·Håkan Samuelsson·Jacob Sznajdman
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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.

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Mats Andersson, Håkan Samuelsson, Jacob Sznajdman. 2009-05-11. On the Briancon-Skoda theorem on a singular variety. https://arxiv.org/abs/0806.3700

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