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Journals / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 2

On symmetric monomial curves in $Bbb{P}^3$

Mesut ŞAHİN
Pages
107–110
Publication Date
2022-11-03
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The proof is constructive and provides the equations of the surfaces cutting out the monomial curve.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections.
📊
Key Findings & Data:In this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections.
💡
Conclusion & Impact:The proof is constructive and provides the equations of the surfaces cutting out the monomial curve.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections. The proof is constructive and provides the equations of the surfaces cutting out the monomial curve.

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Cite This Article

ŞAHİN, M. (2022). On symmetric monomial curves in $Bbb{P}^3$. Turkish Journal of Mathematics, Cilt: 33 - Sayı: 2, 107–110. https://ajindex.com/articles/608570

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