Multiplicity and Hilbert-Kunz multiplicity of monoid rings.

DOI10.3836/tjm/1244208851zbMath1096.13519OpenAlexW2020651191MaRDI QIDQ1812481

Kazufumi Eto

Publication date: 2002

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208851

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (15)

Hilbert-Kunz density function and asymptotic Hilbert-Kunz multiplicity for projective toric varieties ⋮ A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves ⋮ Graph connectivity and binomial edge ideals ⋮ Density function for the second coefficient of the Hilbert-Kunz function on projective toric varieties ⋮ On semicontinuity of multiplicities in families ⋮ Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams ⋮ TOWARD HILBERT–KUNZ DENSITY FUNCTIONS IN CHARACTERISTIC 0 ⋮ The 𝑠-multiplicity function of 2×2-determinantal rings ⋮ \(\beta\)-density function on the class group of projective toric varieties ⋮ Hilbert-Kunz multiplicity of binoids ⋮ Computing the invariants of intersection algebras of principal monomial ideals ⋮ Local Okounkov bodies and limits in prime characteristic ⋮ Hilbert-Kunz functions of \(2\times 2\) determinantal rings ⋮ Notes on Hilbert-Kunz Multiplicity of Rees Algebras ⋮ The shape of Hilbert-Kunz functions

Cites Work

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• Hilbert-Kunz functions of cubic curves and surfaces
• Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
• Hilbert-Kunz function of monomial ideals and binomial hypersurfaces
• The Hilbert-Kunz function
• Defining ideals of complete intersection monoid rings
• Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings
• Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials
• Decompositions of Rational Convex Polytopes

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