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Martin Sleziak
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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 the paper Craig Huneke. Daniel Katz. Javid Validashti. "Uniform equivalence of symbolic and adic topologies." Illinois J. Math. 53 this paper(1) 325 - 338, DOI:10.1215/ijm/1264170853 (a pdf file can be found on Dan Katz website).

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).

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 the paper Craig Huneke. Daniel Katz. Javid Validashti. "Uniform equivalence of symbolic and adic topologies." Illinois J. Math. 53 (1) 325 - 338, DOI:10.1215/ijm/1264170853 (a pdf file can be found on Dan Katz website).

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Hailong Dao
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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).