Projective closure of Gorenstein monomial curves and the Cohen-Macaulay property
| Autor: | Katsabekis, Anargyros |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Arch. Math. (Basel) 122 (2024) |
| Druh dokumentu: | Working Paper |
| Popis: | Let $C({\bf a})$ be a Gorenstein non-complete intersection monomial curve in the 4-dimensional affine space. There is a vector ${\bf v} \in \mathbb{N}^{4}$ such that for every integer $m \geq 0$, the monomial curve $C({\bf a}+m{\bf v})$ is Gorenstein non-complete intersection whenever the entries of ${\bf a}+m{\bf v}$ are relatively prime. In this paper, we study the arithmetically Cohen-Macaulay property of the projective closure of $C({\bf a}+m{\bf v})$. |
| Databáze: | arXiv |
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