Hilbert functions of monomial curves

DOI10.1016/S0022-4049(03)00031-8zbMath1078.13509OpenAlexW2151510624MaRDI QIDQ1413892

Leslie G. Roberts, Dilip P. Patil

Publication date: 17 November 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(03)00031-8

zbMATH Keywords

Hilbert functionmonomial curvesCohen-Macaulay curves

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Special algebraic curves and curves of low genus (14H45)

Related Items

Bases and Ideal Generators for Projective Monomial Curves ⋮ Maximal and Cohen-Macaulay projective monomial curves ⋮ Betti sequence of the projective closure of affine monomial curves ⋮ On the regularity of certain projective monomial curves ⋮ Numerical semigroups: Apéry sets and Hilbert series. ⋮ Results on the Ratliff–Rush Closure and the Integral Closedness of Powers of Certain Monomial Curves ⋮ Non-Cohen-Macaulay projective monomial curves. ⋮ Algebraic invariants of certain projective monomial curves

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• On monomial curves and Cohen-Macaulay type
• Minimal sets of generators for the relation ideals of certain monomial curves
• On the Cohen-Macaulayness of the coordinate ring of certain projective monomial curves
• On the Hilbert function of certain rings of monomial curves
• Certain projective curves with unusual Hilbert function