Hilbert-Kunz multiplicities and the F-signature
Craig Huneke
TL;DR
This survey article reviews the concepts of Hilbert-Kunz multiplicity and F-signature, highlighting their significance in understanding singularities in algebraic geometry and commutative algebra.
Contribution
It provides a comprehensive overview of the current state of research on Hilbert-Kunz multiplicities and F-signature, summarizing key results and open problems.
Findings
Summarizes fundamental properties of Hilbert-Kunz multiplicity.
Discusses the role of F-signature in measuring singularities.
Highlights recent advances and open questions in the field.
Abstract
This is a survey article on Hilbert-Kunz multiplicity and the F-signature.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Algebraic structures and combinatorial models