On Pseudo Symmetric Monomial Curves

Abstract

In this article, we study monomial curves, toric ideals and monomial algebras associated to $4$-generated pseudo symmetric numerical semigroups. Namely, we determine indispensable binomials of these toric ideals, give a characterization for these monomial algebras to have strongly indispensable minimal graded free resolutions. We also characterize when the tangent cones of these monomial curves at the origin are Cohen-Macaulay.

Supported by Tubitak No:114F094

References in corpus (5)

• On the defining equations of the tangent cone of a numerical semigroup ring
• An indispensable classification of monomial curves in $\mathbb{A}^4(\mathbbmss{k}) $
• On the Cohen-Macaulayness of tangent cones of monomial curves in ${\mathbb{A}}^4(K)$
• On the Hilbert function of the tangent cone of a monomial curve
• On simple A-multigraded minimal resolutions

Cited by in corpus (7)

• Betti numbers for numerical semigroup rings
• Betti numbers for certain Cohen-Macaulay tangent cones
• On the Hilbert Series of the tangent cones for some 4-generated pseudo 2 symmetric monomial curves
• Gluing semigroups and strongly indispensable free resolutions
• Liftings of a monomial curve
• 4-Generated Pseudo Symmetric Monomial Curves with not Cohen-Macaulay Tangent Cones
• On the monotonicity of the Hilbert functions for 4-generated pseudo-symmetric monomial curves