The Briacon-Skoda Number of Analytic Irreducable Planar Curves

Journal article, 2014

The Briancon-Skoda number of a ring R is defined as the smallest integer k, such that for any ideal I subset of R and l >= 1, the integral closure of Ik+l-1 is contained in P. We compute the Briangon-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.