New estimates of Hilbert–Kunz multiplicities for local rings of fixed dimension

DOI10.1215/00277630-2335204zbMath1282.13010arXiv1101.5078OpenAlexW3103334930MaRDI QIDQ2873891

Florian Enescu, Ian M. Aberbach

Publication date: 27 January 2014

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5078

zbMATH Keywords

Cohen-MacaulayHilbert-Samuel multiplicityGorensteinHilbert-Kunz multiplicity\(F\)-regular\(F\)-rational

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (5)

$F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ On lower bounds for \(s\)-multiplicities ⋮ The Hilbert-Kunz density functions of quadric hypersurfaces ⋮ The shape of Hilbert-Kunz functions ⋮ Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension
• Cohen-Macaulay local rings of maximal embedding dimension
• Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
• On the upper semi-continuity of the Hilbert-Kunz multiplicity
• The Hilbert-Kunz function
• Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings
• Valuations Associated with Ideals (II)
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Cube Slices, Pictorial Triangles, and Probability
• Notes on Hilbert-Kunz Multiplicity of Rees Algebras
• Hilbert-Kunz Multiplicity of Three-Dimensional Local Rings
• On rings with small Hilbert-Kunz multiplicity
• Multiplicity and tight closures of parameters

This page was built for publication: New estimates of Hilbert–Kunz multiplicities for local rings of fixed dimension