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Hello, I am looking for a paper by Irena Swanson on a result on comparison of ordinary and symbolic powers of prime ideals in complete local rings. The paper is referenced in problem 0.9 here I don't know the name of the paper, and so far my searches have been to no avail. I searched through the preprints made available on her website, but did not find it (or probably missed it). Thanks for any help.

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up vote 3 down vote accepted

That would be number 11 on her paper site "Linear equivalence of topologies".

As for Problem 0.9, it is known for regular local rings over fields by Ein-Lazarsfeld-Smith and Hochster-Huneke. The most recent result is for isolated singularities, see this paper (a pdf file can be found on Dan Katz website).

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Thanks a lot, Hailong for the pointed reference. I am aware of Ein-Lazarsfeld-Smith and Hochster-Huneke results in this direction. I had not seen the Huneke-Katz-Validashti paper though. Thanks for that one as well. – Anton Jun 29 '11 at 5:03

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