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arXiv · 1512.04204

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

Feza Arslan·Anargyros Katsabekis·Melissa Nalbandiyan
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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.

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Feza Arslan, Anargyros Katsabekis, Melissa Nalbandiyan. 2017-02-03. On the Cohen-Macaulayness of tangent cones of monomial curves in $\mathbb{A}^{4}(K)$. https://arxiv.org/abs/1512.04204

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