The Hilbert-Kunz function of rings of finite Cohen-Macaulay type

DOI10.1007/s000130050123zbMath0899.13003OpenAlexW1993871113MaRDI QIDQ1383614

Gerhard Seibert

Publication date: 8 November 1998

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050123

zbMATH Keywords

Frobenius mapmaximal Cohen-Macaulay modulefinite Cohen-Macaulay typeprime characteristicHilbert-Kunz function

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (17)

$F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ One-dimensional rings of finite F-representation type ⋮ F-signature function of quotient singularities ⋮ F-coherent rings with applications to tight closure theory ⋮ Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings ⋮ Hilbert-Kunz multiplicity of binoids ⋮ Lengths of tors determined by killing powers of ideals in a local ring. ⋮ Generalized \(F\)-signatures of Hibi rings ⋮ Notes on Hilbert-Kunz Multiplicity of Rees Algebras ⋮ Some computations of the generalized Hilbert-Kunz function and multiplicity ⋮ The symmetric signature ⋮ Differential symmetric signature in high dimension ⋮ FFRT properties of hypersurfaces and their F-signatures ⋮ The shape of Hilbert-Kunz functions ⋮ F-blowups of F-regular surface singularities ⋮ Hilbert-Kunz multiplicity and an inequality between multiplicity and colength ⋮ Quantifying singularities with differential operators

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