On some Gorenstein loci in \(\mathcal Hilb_6(\mathbb P^4_k)\)

DOI10.1016/j.jalgebra.2006.09.023zbMath1120.14003arXivmath/0602182OpenAlexW2005904761MaRDI QIDQ876389

Gianfranco Casnati, Roberto Notari

Publication date: 18 April 2007

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

Full work available at URL: https://arxiv.org/abs/math/0602182

zbMATH Keywords

Hilbert schemezero-dimensional schemeArtinian algebraarithmetically Gorenstein subscheme

Mathematics Subject Classification ID

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

Related Items

Isomorphism Types of Artinian Gorenstein Local Algebras of Multiplicity at Most 9, Structure theorems for certain Gorenstein ideals, Classifying local Artinian Gorenstein algebras, Nets of conics and associated Artinian algebras of length 7. Translation and update of the 1977 version by J. Emsalem and A. Iarrobino, On the irreducibility and the singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 10, On the rationality of certain Weierstrass spaces of type \((5, g)\), Examples of \(k\)-regular maps and interpolation spaces, On the Gorenstein locus of some punctual Hilbert schemes, Poincaré Series and Deformations of Gorenstein Local Algebras, Isomorphism classes of short Gorenstein local rings via Macaulay’s inverse system, Hermitian K-theory via oriented Gorenstein algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructing big Gorenstein ideals from small ones
• Syzygies of canonical curves and special linear series
• Hilbert functions and Betti numbers in a flat family
• Determinantal rings
• Non-obstructedness of Gorenstein subschemes of codimension 3 in \(\mathbb{P}{}^ n\)
• A complex associated with a symmetric matrix
• Syzygies des variétés déterminantales
• The dimension of the Hilbert scheme of Gorenstein codimension \(3\) subschemes
• Components of the space parametrizing graded Gorenstein Artin algebras with a given Hilbert function
• Hilbert schemes of zero-dimensional subschemes of smooth varieties
• Reducibility of the families of O-dimensional schemes on a variety
• Gorenstein liaison, complete intersection liaison invariants and unobstructedness
• COVERS OF ALGEBRAIC VARIETIES VI. ANGLO-AMERICAN COVERS AND (1,3)-POLARIZED ABELIAN SURFACES
• An iterative construction of Gorenstein ideals
• 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 Family G_Tof Graded Artinian Quotients ofk[x,y of Given Hilbert Function]
• Covers of algebraic varieties IV. A Bertini theorem for scandinavian covers
• Kustin--Miller unprojection with complexes
• Kustin--Miller unprojection with complexes
• Multiple Structures on Smooth Support
• Algebraic Families on an Algebraic Surface