Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

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 http://www.aimath.org/WWN/integralclosure/Huneke.pdf 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.

share|improve this question
add comment

1 Answer

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).

share|improve this answer
    
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
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.