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Commutative Algebra pp 485–525Cite as

Hilbert–Kunz Multiplicity and the F-Signature

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Abstract

This paper is a much expanded version of two talks given in Ann Arbor in May of 2012 during the computational workshop on F-singularities. We survey some of the theory and results concerning the Hilbert-Kunz multiplicity and F-signature of positive characteristic local rings.

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Acknowledgements

The author was partially supported by NSF grant DMS-1063538. I thank them for their support.

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  1. Department of Mathematics, University of Virginia, Charlottesville, VA, 22902, USA

    Craig Huneke

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  1. Craig Huneke
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Correspondence to Craig Huneke .

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  1. Cornell University, 547 Malott Hall, Ithaca, 14853, New York, USA

    Irena Peeva

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Huneke, C. (2013). Hilbert–Kunz Multiplicity and the F-Signature. In: Peeva, I. (eds) Commutative Algebra. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5292-8_15

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