The Briancon-Skoda number of analytic irreducible planar curves

Details The Briancon-Skoda number of analytic irreducible planar curves The Briancon-Skoda number of analytic irreducible planar curves

2012-01-16

arxiv.org/abs/1201.3288v1

Mathematics

Complex Variables

9 pages, 0 figures

Scientific paper

The Briancon-Skoda number of a ring R is defined as the smallest integer k, such that for any ideal I\subset R and r\geq 1, the integral closure of I^{k+r-1} is contained in I^r. 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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