A new version of a-tight closure release_rev_8e8f1dbc-43a3-44d1-b7ce-827f41047918

by Adela Vraciu

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Hara and Yoshida introduced a notion of -tight closure in 2003, and they proved that the test ideals given by this operation correspond to multiplier ideals. However, their operation is not a true closure. The alternative operation introduced here is a true closure. Moreover, we define a joint Hilbert-Kunz multiplicity that can be used to test for membership in this closure. We study the connections between the Hara-Yoshida operation and the one introduced here, primarily from the point of view of test ideals. We also consider variants with positive real exponents.
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Type  article
Stage   submitted
Date   2007-03-30
Version   v1
Language   en ?
arXiv  math/0703932v1
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Revision: 8e8f1dbc-43a3-44d1-b7ce-827f41047918