Hilbert-Kunz multiplicity and an inequality between multiplicity and colength

From MaRDI portal
Publication:1583654

DOI10.1006/jabr.1999.7956zbMath0964.13008OpenAlexW2033741729MaRDI QIDQ1583654

Ken-ichi Yoshida, Kei- ichi Watanabe

Publication date: 16 July 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.7956




Related Items (58)

Bounds on the Hilbert-Kunz multiplicityBOUNDS ON MULTIPLICITIES OF LOCAL RINGSA Note on a Conjecture of Watanabe and YoshidaLower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimensionEquimultiplicity in Hilbert-Kunz theoryInterpolating between Hilbert-Samuel and Hilbert-Kunz multiplicityA New Version of α-Tight ClosureOn rings with small Hilbert-Kunz multiplicityThe Hilbert-Kunz functions of two-dimensional rings of type ADEThe asymptotic behavior of Frobenius direct images of rings of invariantsOn the existence of 𝐹-thresholds and related limits$F$-singularities: applications of characteristic $p$ methods to singularity theoryHilbert-Kunz multiplicities and \(F\)-thresholdsAsymptotic Hilbert-Kunz multiplicityLech's conjecture in dimension threeTight Hilbert polynomial and F-rational local ringsOn lower bounds for \(s\)-multiplicitiesGlobalizing F-invariantsDual \(F\)-signature of Cohen-Macaulay modules over rational double pointsNotes on the Hilbert-Kunz function.The Hilbert-Kunz density functions of quadric hypersurfacesSyzygy gap fractals. I: Some structural results and an upper boundTOWARD HILBERT–KUNZ DENSITY FUNCTIONS IN CHARACTERISTIC 0CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATUREA function determined by a hypersurface of positive characteristicBertini theorems for \(F\)-signature and Hilbert-Kunz multiplicityHilbert-Kunz Multiplicity of Two-Dimensional Local RingsHilbert-Kunz density function for graded domainsHilbert-Kunz multiplicity of binoids\(F\)-signature and Hilbert-Kunz multiplicity: a combined approach and comparisonUnmixed local rings with minimal Hilbert-Kunz multiplicity are regularThe symmetric signature of cyclic quotient singularitiesHilbert-Kunz multiplicity of products of ideals\(F\)-signature existsThe bound of the difference between parameter ideals and their tight closures.Hilbert-Kunz Multiplicity and Reduction Mod pSemistability and Hilbert-Kunz multiplicities for curvesOn the upper semi-continuity of the Hilbert-Kunz multiplicityHilbert-Kunz Multiplicity of Three-Dimensional Local RingsObservations on the \(F\)-signature of local rings of characteristic \(p\)Multiplicity and tight closures of parametersCharacterizations of regular local rings in positive characteristicsNotes on Hilbert-Kunz Multiplicity of Rees AlgebrasUpper semi-continuity of the Hilbert–Kunz multiplicityClassification of the linearly reductive finite subgroup schemes of \(\mathrm{SL}_2\)Multiplicity and Hilbert-Kunz multiplicity of monoid rings.Hilbert–Kunz multiplicity of the powers of an idealThe symmetric signatureHilbert-Kunz multiplicity of fibers and Bertini theoremsDifferential symmetric signature in high dimensionEquimultiplicity theory of strongly \(F\)-regular ringsThe shape of Hilbert-Kunz functionsAsymptotic Lech's inequalityHilbert–Kunz Multiplicities in Families of Certain Two-Dimensional, ℕ-Graded RingsNew estimates of Hilbert–Kunz multiplicities for local rings of fixed dimensionThe Hilbert-Kunz function of some quadratic quotients of the Rees algebraLower bounds on Hilbert–Kunz multiplicities and maximal F-signaturesThe rationality of the Hilbert-Kunz multiplicity in graded dimension two



Cites Work


This page was built for publication: Hilbert-Kunz multiplicity and an inequality between multiplicity and colength