Abstract
The purpose of this note is to give a new, short proof of a classification of ACM sets of points in \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\) in terms of separators.
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Giuffrida S., Maggioni R., Ragusa A.: On the postulation of 0-dimensional subschemes on a smooth quadric. Pacific J. Math. 155, 251–282 (1992)
Guardo E., Van Tuyl A.: Separators of points in a multiprojective space. Manuscripta Math. 126, 215–245 (2008)
Guardo E., Van Tuyl A.: ACM sets of points in multiprojective spaces. Collect. Math. 59, 191–213 (2008)
L. Marino, A characterization of ACM 0-dimensional subschemes of \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\), Matematiche, LXIV (2009), Fasc. II, 41–56.
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Guardo, E., Van Tuyl, A. Classifying ACM sets of points in \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\) via separators. Arch. Math. 99, 33–36 (2012). https://doi.org/10.1007/s00013-012-0404-0
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DOI: https://doi.org/10.1007/s00013-012-0404-0