Integral closure of ideals in excellent local rings
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Let R be an excellent local ring, m its maximal ideal and I an ideal. Then there exists a positive integer c such that for all integers n, the integral closure of (I + m^n) is contained in m^(n/c) + the integral closure of I.
In the proof, a version of the linear Artin approximation theorem is proved.
Theorem 2.7 in the published version is wrong (we thank Ray Heitmann for pointing it out). This is a corrected version (the main results still hold)
Theorem 2.7 in the published version is wrong (we thank Ray Heitmann for pointing it out). This is a corrected version (the main results still hold)