On the \(H\)-polynomial of certain monomial curves

DOI10.1216/rmjm/1181069906zbMath1061.14062OpenAlexW2025539184MaRDI QIDQ1880983

Grazia Tamone, Dilip P. Patil

Publication date: 27 September 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069906

zbMATH Keywords

Hilbert functionnumerical semigroupsalgebroid monomial curve

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Computational aspects of algebraic curves (14Q05)

Related Items (5)

Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences ⋮ ON THE COHEN–MACAULAYNESS OF SOME GRADED RINGS ⋮ Deformations and smoothability of certain AS monomial curves ⋮ CM defect and Hilbert functions of monomial curves ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves

Cites Work

• The conjecture of Sally on the Hilbert function for curve singularities
• Generators for the derivation modules and the relation ideals of certain curves
• On the Cohen-Macaulayness of the associated graded ring of certain monomial curves
• On the Hilbert function of certain non Cohen-Macaulay one-dimensional rings
• Minimal sets of generators for the relation ideals of certain monomial curves
• Cohen-Macaulay local rings of dimension two and an extended version of a conjecture of J. Sally
• On the Hilbert function of certain rings of monomial curves
• On the coefficients of the Hilbert polynomial
• Cohen-macaulayness of the associated graded of a semigroup rings
• On the hilbert function of some non cohen-macaulay graded rings
• A conjecture of j. sally
• Minimal set of generators for the derivation module of certain monomial curves

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