October 2021 Equimultiplicity Theory of Strongly F-Regular Rings
Thomas Polstra, Ilya Smirnov
Michigan Math. J. 70(4): 837-856 (October 2021). DOI: 10.1307/mmj/1600913073

Abstract

We explore the equimultiplicity theory of the F-invariants Hilbert–Kunz multiplicity, F-signature, Frobenius Betti numbers, and Frobenius Euler characteristic in strongly F-regular rings. Techniques introduced in this paper provide a unified approach to the study of localization of these invariants and detection of singularities.

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Thomas Polstra. Ilya Smirnov. "Equimultiplicity Theory of Strongly F-Regular Rings." Michigan Math. J. 70 (4) 837 - 856, October 2021. https://doi.org/10.1307/mmj/1600913073

Information

Received: 1 July 2019; Revised: 11 October 2019; Published: October 2021
First available in Project Euclid: 24 September 2020

MathSciNet: MR4332680
zbMATH: 1486.13011
Digital Object Identifier: 10.1307/mmj/1600913073

Subjects:
Primary: 13A35 , 13D40 , 13H10
Secondary: 13D02 , 13H15

Rights: Copyright © 2021 The University of Michigan

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Vol.70 • No. 4 • October 2021
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