解析不可约平面曲线的Briancon-Skoda数
The Briancon-Skoda number of analytic irreducible planar curves
摘要：
环R的Briancon-Skoda数定义为最小整数k，使得对任意理想I \subset R和r \geq 1，I^{k+r-1}的整闭包包含在I^r中.本文根据解析不可约平面曲线的Puienix特征，计算了其局部环的Briancon-Skoda数。这个数与Milnor数密切相关。
英文摘要：
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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