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arXiv · 1707.08453

Complete intersection monomial curves and the Cohen-Macaulayness of their tangent cones

Anargyros Katsabekis
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Abstract

Let $C({\bf n})$ be a complete intersection monomial curve in the 4-dimensional affine space. In this paper we study the complete intersection property of the monomial curve $C({\bf n}+w{\bf v})$, where $w>0$ is an integer and ${\bf v} \in \mathbb{N}^{4}$. Also we investigate the Cohen-Macaulayness of the tangent cone of $C({\bf n}+w{\bf v})$.

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Anargyros Katsabekis. 2017-07-26. Complete intersection monomial curves and the Cohen-Macaulayness of their tangent cones. https://arxiv.org/abs/1707.08453

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