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arXiv · 0807.0142

An elementary proof of the Briancon-Skoda theorem

Jacob Sznajdman
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Abstract

We give a new elementary proof of the Brian\c{c}on-Skoda theorem, which states that for an $m$-generated ideal $\mathfrak{a}$ in the ring of germs of analytic functions at $0\in \C^n$, the $\nu$:th power of its integral closure is contained in $\mathfrak{a}$, where $\nu = \min(m,n)$.

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Jacob Sznajdman. 2008-07-01. An elementary proof of the Briancon-Skoda theorem. https://arxiv.org/abs/0807.0142

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