Continuity of Hilbert-Kunz multiplicity and F-signature

2017/07/14 by Polstra, Thomas, Smirnov, Ilya · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1707.04366

Abstract

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.

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