Resolutions of generic points lying on a smooth quadric

DOI10.1007/BF02567964zbMath0873.14041MaRDI QIDQ1353037

Alfio Ragusa, Renato Maggioni, Salvatore Giuffrida

Publication date: 2 November 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156239

zbMATH Keywords

Hilbert functiongraded Betti numbersdeterminantal zero-dimensional subschemeideal of a reduced 0-dimensional schemesubscheme of quadric surface

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Determinantal varieties (14M12) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (14)

Applications of Liaison ⋮ The minimal resolution conjecture on a general quartic surface in \(\mathbb{P}^3\) ⋮ Virtual resolutions of points in \(\mathbb{P}^1 \times \mathbb{P}^1\) ⋮ Finite 0-dimensional multiprojective schemes and their ideals ⋮ Separators of points in a multiprojective space ⋮ ACM sets of points in multiprojective space ⋮ Scheme-Theoretic Complete Intersections in ℙ¹× ℙ¹ ⋮ Minimal free resolution for points on surfaces ⋮ Minimal free resolutions of general points lying on cubic surfaces in \(\mathbb P^3\) ⋮ Separators of fat points in \(\mathbb P^n \times \mathbb P^m\) ⋮ Minimal resolution of relatively compressed level algebras ⋮ Fat points schemes on a smooth quadric ⋮ Minimal Free Resolutions of Zero-dimensional Schemes in ℙ¹ × ℙ¹ ⋮ The border of the Hilbert function of a set of points in \(\mathbb P^{n_1}\times \cdots \times \mathbb P^{n_k}\)

Cites Work

• Unnamed Item
• On the postulation of 0-dimensional subschemes on a smooth quadric
• On the homogeneous ideal of the generic union of lines in 3.

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