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arXiv · 1906.01162

Equimultiplicity Theory of Strongly $F$-regular rings

Thomas Polstra·Ilya Smirnov
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Abstract

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

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Thomas Polstra, Ilya Smirnov. 2019-06-04. Equimultiplicity Theory of Strongly $F$-regular rings. https://arxiv.org/abs/1906.01162

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