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Classifying ACM sets of points in \({\mathbb{P}^{1} \times \mathbb{P}^{1}}\) via separators

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Publication:444114
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DOI10.1007/s00013-012-0404-0zbMath1263.13011arXiv1205.6757OpenAlexW1556215126MaRDI QIDQ444114

Adam Van Tuyl, Elena Guardo

Publication date: 13 August 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6757


zbMATH Keywords

Arithmetically Cohen-MacaulayMultiprojective spacesSeparatorsZero dimensional schemes


Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Schemes and morphisms (14A15)


Related Items (3)

The K\"ahler Different of a Set of Points in $\mathbb{P}^m\times\mathbb{P}^n$ ⋮ Special arrangements of lines: Codimension 2 ACM varieties in ℙ1 × ℙ1 × ℙ1 ⋮ On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces



Cites Work

  • Separators of points in a multiprojective space
  • ACM sets of points in multiprojective space
  • Unnamed Item


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