On the Briancon-Skoda theorem on a singular variety

Details On the Briancon-Skoda theorem on a singular variety On the Briancon-Skoda theorem on a singular variety

2008-06-23

arxiv.org/abs/0806.3700v2

Ann. Inst. Fourier, Tome 60, no 2 (2010)

Mathematics

Complex Variables

Scientific paper

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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