An elementary proof of the Briancon-Skoda theorem

We give a new elementary proof of the Briançon-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 $ν$:th power of its integral closure is contained in $\mathfrak{a}$, where $ν= \min(m,n)$.

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