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Continuity of Hilbert-Kunz multiplicity and F-signature
University of Utah.
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0003-4457-2943
2018 (English)In: Nagoya mathematical journal, ISSN 0027-7630, E-ISSN 2152-6842Article in journal (Refereed) Published
Abstract [en]

We establish the continuity of Hilbert–Kunz multiplicity and F-signature as functions from a Cohen–Macaulay local ring (R,m,k) of prime characteristic to the real numbers at reduced parameter elements with respect to the m-adic topology.

Place, publisher, year, edition, pages
2018.
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-164875OAI: oai:DiVA.org:su-164875DiVA, id: diva2:1280589
Available from: 2019-01-20 Created: 2019-01-20 Last updated: 2019-01-21Bibliographically approved

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Smirnov, Ilya
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