Cores of ideals in 2-dimensional regular local rings (Q1895961)

Let \(R\) be a commutative ring, \(I \subseteq R\) an ideal. An ideal \(J\) is called reduction of \(I\) if \(JI^n = I^{n + 1}\) for some \(n\). The core of \(I\) is the intersection of all reductions of \(I\). The core of an integrally closed ideal in a two-dimensional regular local ring is computed in terms of minors of a presentation of the ideal.