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arXiv · 2309.04322

An invitation to equimultiplicity of F-invariants

Ilya Smirnov
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Abstract

This note grew from the lectures I delivered at ICTP during the Summer School in honor of Hochster and Huneke. Its purpose is to provide an introduction to the notion of equimultiplicity (of numerical invariants of singularities/local rings) and survey past work on equimultiplicity of Hilbert-Kunz multiplicity and F-signature. The treatment of F-signature is from joint work with Thomas Polstra and the section on Hilbert-Kunz multiplicity updates my previous paper on the topic and gives novel applications.

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Ilya Smirnov. 2023-09-08. An invitation to equimultiplicity of F-invariants. https://arxiv.org/abs/2309.04322

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