On the Cohen-Macaulayness of tangent cones of monomial curves in ${\mathbb{A}}^4(K)$

Abstract

In this paper we give necessary and sufficient conditions for the Cohen-Macaulayness of the tangent cone of a monomial curve in the 4-dimensional affine space. We study particularly the case where $C$ is a Gorenstein non-complete intersection monomial curve.

Cited by in corpus (3)

• On Pseudo Symmetric Monomial Curves
• Liftings of a monomial curve
• Equations defining tangent cones of Gorenstein monomial curves