Minimal free resolution of curves of degree 6 or lower in the 3-dimensional projective space. (Q696224)
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scientific article; zbMATH DE number 1799660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal free resolution of curves of degree 6 or lower in the 3-dimensional projective space. |
scientific article; zbMATH DE number 1799660 |
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Minimal free resolution of curves of degree 6 or lower in the 3-dimensional projective space. (English)
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2002
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Let \(C\subset \mathbb{P}^3\) be a nondegenerate irreducible space curve of degree \(d\leq 6\). The author gives a list of all possible sequences of graded Betti numbers for \(C\) by applying the results of \textit{L. Gruson}, \textit{L. R. Lazarsfeld} and \textit{C. Peskine} [Invent. Math. 72, 491--506 (1983; Zbl 0565.14014)] and doing a case-by-case study.
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