The dimension of the Hilbert scheme of Gorenstein codimension \(3\) subschemes

DOI10.1016/S0022-4049(96)00180-6zbMath0949.14003OpenAlexW2056046671MaRDI QIDQ1295494

Jan O. Kleppe, Rosa Maria Miró-Roig

Publication date: 6 December 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00180-6

zbMATH Keywords

Hilbert schemeHilbert polynomialcodimension 3arithmetically Gorenstein closed subschemes

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05) Low codimension problems in algebraic geometry (14M07)

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Cites Work

• Unnamed Item
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• Numerical invariants of liaison classes
• Resolutions of the exterior and symmetric powers of a module
• Non-obstructedness of Gorenstein subschemes of codimension 3 in \(\mathbb{P}{}^ n\)
• Ein Cohen-Macaulay Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul
• Hilbert functions of graded algebras
• On hyperplane sections of reduced irreducible varieties of low codimension
• Irreducibility and dimension theorems for families of height 3 Gorenstein algebras
• Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
• Genre des courbes de l'espace projectif. II
• Deformations of graded algebras.
• The Syzygies of the Conormal Module
• Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• The h-vector of a Gorenstein codimension three domain
• A Note on Gorenstein Rings of Embedding Codimension Three

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