June 29, 2024Open Access

Projective closure of Gorenstein monomial curves and the Cohen-Macaulay property

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Abstract

Let C (a) be a Gorenstein non-complete intersection monomial curve in the 4-dimensional affine space. There is a vector v N^4 such that for every integer m 0, the monomial curve C (a+m v) is Gorenstein non-complete intersection whenever the entries of a+m v are relatively prime. In this paper, we study the arithmetically Cohen-Macaulay property of the projective closure of C (a+m v).

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Cite This Study

Anargyros Katsabekis (Sat,) studied this question.

synapsesocial.com/papers/68e62acbb6db6435875bd61e https://doi.org/https://doi.org/10.48550/arxiv.2407.00528

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