CM defect and Hilbert functions of monomial curves

DOI10.1016/j.jpaa.2010.08.007zbMath1213.14058OpenAlexW1970867887MaRDI QIDQ531362

Dilip P. Patil, Grazia Tamone

Publication date: 29 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.08.007

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Singularities of curves, local rings (14H20)

Related Items (7)

On pseudo symmetric monomial curves ⋮ One-dimensional Gorenstein local rings with decreasing Hilbert function ⋮ On semigroup rings with decreasing Hilbert function ⋮ On the Hilbert Function of Four-Generated Numerical Semigroup Rings ⋮ On the Hilbert function of the tangent cone of a monomial curve ⋮ On the Apéry sets of monomial curves ⋮ On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K)

Cites Work

• Unnamed Item
• Unnamed Item
• 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 length equalities for one-dimensional rings
• Cohen-Macaulayness of almost complete intersection tangent cones
• One-dimensional local rings with reduced associated graded ring and their Hilbert functions
• Symmetric semigroups of integers generated by 4 elements
• On the associated graded ring of a local Cohen-Macaulay ring
• 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
• On the \(H\)-polynomial of certain monomial curves
• On the Hilbert function of certain rings of monomial curves
• On the degree of singularity of one-dimensional analytically irreducible Noetherian local rings
• Cartesian squares and ordinary singularities of curves
• Hilbert functions of Gorenstein monomial curves
• Singularity of Monomial Curves in A³ and Gorenstein Monomial Curves in A⁴
• Ordinary Singularities with Decreasing Hilbert Function
• On Prime Ideals with Generic Zero x i = t n i
• Stretched Gorenstein Rings
• On the hilbert function of some non cohen-macaulay graded rings
• On the depth of the tangent cone and the growth of the Hilbert function
• ON THE TYPE OF THE ASSOCIATED GRADED RING OF CERTAIN MONOMIAL CURVES
• Perfect Pairs of Ideals and Duals in Numerical Semigroups
• The Multiplicity and Reduction Number of a One-Dimensional Local Ring

This page was built for publication: CM defect and Hilbert functions of monomial curves