Author:

Keywords:

adjacent ideal, complete ideals, degree function, rational singularity, integrally closed ideals, local-rings, Science & Technology, Physical Sciences, Mathematics, Adjacent ideal, Complete ideals, Degree function, Rational singularity, INTEGRALLY CLOSED IDEALS, LOCAL-RINGS, DIMENSION 2, 0101 Pure Mathematics, General Mathematics, 4904 Pure mathematics

Abstract:

Let (R, M) be a two-dimensional rational singularity with algebraically closed residue field. We investigate, for complete M-primary ideals J subset of I in R, when length (I/J) = length (In+1/JI(n)) for all natural numbers n >= 1.