The Briancon-Skoda number of analytic irreducible planar curves
Abstract
The Briancon-Skoda number of a ring R is defined as the smallest integer k, such that for any ideal I⊂ R and r≥ 1, the integral closure of Ik+r-1 is contained in Ir. We compute the Briancon-Skoda number of the local ring of any analytic irreducible planar curve in terms of its Puiseux characteristics. It turns out that this number is closely related to the Milnor number.
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