Equimultiplicity Theory of Strongly F-regular rings

2019/06/04 by Polstra, Thomas, Smirnov, Ilya
#13A35 #13D40 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.01162

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.

Related

• An invitation to equimultiplicity of F-invariants
• Lower bounds on Hilbert--Kunz multiplicities and maximal F-signatures
• Globalizing F-invariants
• Quantifying singularities with differential operators
• The F-signature and strong F-regularity