The smoothness and the dimension of \(PGor(H)\) and of other strata of the punctual Hilbert scheme

DOI10.1006/jabr.1997.7226zbMath0928.14005OpenAlexW2017054612MaRDI QIDQ1383971

Jan O. Kleppe

Publication date: 23 November 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7226

zbMATH Keywords

dimensionHilbert functionpunctual Hilbert schemegraded Gorenstein quotients

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (16)

Families of Artinian and one-dimensional algebras ⋮ Families of Artinian and low dimensional determinantal rings ⋮ A combinatorial proof of the smoothness of catalecticant schemes associated to complete intersections ⋮ Deformations of modules of maximal grade and the Hilbert scheme at determinantal schemes ⋮ Ancestor ideals of vector spaces of forms, and level algebras. ⋮ Comparison theorems for deformation functors via invariant theory ⋮ Families of low dimensional determinantal schemes ⋮ On general surfaces defined by an almost linear Pfaffian ⋮ Reducible family of height three level algebras ⋮ Maximal families of Gorenstein algebras ⋮ Conjugacy classes of commuting nilpotents ⋮ Elementary components of Hilbert schemes of points ⋮ Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\) ⋮ The dimension of the determinantal schemev_s(t,t,2) of the catalecticant matrix ⋮ Even G-liaison classes of some unions of curves ⋮ Sheaves with canonical determinant on Cohen-Macaulay schemes.

Cites Work

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• Numerical invariants of liaison classes
• Formal moduli of algebraic structures
• Resolutions of the exterior and symmetric powers of a module
• On the resolutions of the powers of the Pfaffian ideals
• Zur homologischen Dimension äußerer Potenzen von Moduln
• Deformations of normal surface singularities with \(\mathbb{C}^*\) action
• Description de Hilb sup(n) C{X,Y}
• Equisingular deformations of normal surface singularities. I
• Deformation of schemes defined by vanishing of Pfaffians
• The dimension of the Hilbert scheme of Gorenstein codimension \(3\) subschemes
• Méthode simpliciale en algèbre homologique et algèbre commutative
• Reducibility of the families of O-dimensional schemes on a variety
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• Deformations of graded algebras.
• The Syzygies of the Conormal Module
• A family of complexes associated to an almost alternating map, with applications to residual intersections
• Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
• Normally Flat Deformations
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• A generalized trisecant lemma
• Concerning the existence of nice components in the Hilbert scheme of curves in n for n = 4 and 5.
• Betti numbers and lifting of Gorenstein codimension three ideals
• Functors of Artin Rings
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Punctual Hilbert schemes

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