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CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE

Published online by Cambridge University Press:  27 December 2018

THOMAS POLSTRA
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, USA email polstra@math.utah.edu
ILYA SMIRNOV
Affiliation:
Department of Mathematics, Stockholm University, S-106 91, Stockholm, Sweden email smirnov@math.su.se
Corresponding

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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Article
Copyright
© 2018 Foundation Nagoya Mathematical Journal

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Footnotes

Polstra was supported in part by NSF Postdoctoral Research Fellowship DMS #1703856.

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