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

Anargyros Katsabekis; Feza Arslan; Melissa Nalbandiyan

arxiv: 1512.04204 · v4 · pith:BQIH5R7Dnew · submitted 2015-12-14 · 🧮 math.AC · math.AG

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

Feza Arslan , Anargyros Katsabekis , Melissa Nalbandiyan This is my paper

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keywords monomialcohen-macaulaynesscurvetangentaffinecaseconditionscone

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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.

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

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