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CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE
Published online by Cambridge University Press: 27 December 2018
Abstract
We establish the continuity of Hilbert–Kunz multiplicity and F-signature as functions from a Cohen–Macaulay local ring $(R,\mathfrak{m},k)$ of prime characteristic to the real numbers at reduced parameter elements with respect to the
$\mathfrak{m}$-adic topology.
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- © 2018 Foundation Nagoya Mathematical Journal
Footnotes
Polstra was supported in part by NSF Postdoctoral Research Fellowship DMS #1703856.
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