Uniform Equivalence of Symbolic and Adic Topologies
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چکیده
Let (R,m) be a local ring. We study the question of when there exists a positive integer h such that for all prime ideals P ⊆ R, the symbolic power P (hn) is contained in P, for all n ≥ 1. We show that such an h exists when R is a reduced isolated singularity such that R either contains a field of positive characteristic and R is F -finite or R is essentially of finite type over a field of characteristic zero.
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تاریخ انتشار 2010