Abstract
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 $P\subseteq R$, the symbolic power $P^{(hn)}$ is contained in $P^n$, for all $n\geq1$. 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.
Citation
Craig Huneke. Daniel Katz. Javid Validashti. "Uniform equivalence of symbolic and adic topologies." Illinois J. Math. 53 (1) 325 - 338, Spring 2009. https://doi.org/10.1215/ijm/1264170853
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