Minimal Free Resolutions of Zero-dimensional Schemes in ℙ1 × ℙ1

DOI10.1142/S1005386715000097zbMath1329.13020arXiv1108.4007MaRDI QIDQ5496360

Lucia Marino, Paola Bonacini

Publication date: 30 January 2015

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4007

zbMATH Keywords

Hilbert functionresolutionseparators

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)

Cites Work

• Separators of fat points in \(\mathbb P^n\).
• On the postulation of 0-dimensional subschemes on a smooth quadric
• Separators of points in a multiprojective space
• The minimal resolutions of double points in \(\mathbb {P}^1 \times \mathbb P^{1}\) with ACM support
• Resolutions of generic points lying on a smooth quadric
• The Hilbert functions of ACM sets of points in \({\mathbb P}^{n_1} {\times}\dots{\times}{\mathbb P}^{n_k}\)
• The regularity of points in multi-projective spaces.
• Hilbert functions and set of points in \(\mathbb P^1\times \mathbb P^1\)
• On the Hilbert function of zero-dimensional schemes in \(\mathbb P^{1} \times \mathbb P^{1}\)
• Points in Generic Position and Conductors of Curves with Ordinary Singularities

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