Structure Theory for a Class of Grade Four Gorenstein Ideals

DOI10.2307/1999773zbMath0495.13005OpenAlexW4253226355MaRDI QIDQ3958559

Andrew R. Kustin, Matthew P. Miller

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999773

zbMATH Keywords

Torgradegraded differential complexesminimal generationresolutions of Gorenstein ideals

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items

Deformation and Linkage of Gorenstein Algebras, A structure theorem for a class of grade three perfect ideals, The minimal free resolutions of the Huneke-Ulrich deviation two Gorenstein ideals, Poincaré series of modules over local rings of small embedding codepth or small linking number, Homogeneous liaison and the sequentially bounded licci property, On the structure of Gorenstein ideals of deviation two, Tom and Jerry triples with an application to Fano 3-folds, A structure theorem for type 3, grade 3 perfect ideals, Artinian Gorenstein algebras of embedding dimension four and socle degree three, Automorphisms of the Koszul homology of a local ring, A general resolution for grade four Gorenstein ideals, Generating a residual intersection, A structure result for Gorenstein algebras of odd codimension, Classification of the Tor-Algebras of Codimension Four Almost Complete Intersections, On the number of generators of ideals defining Gorenstein Artin algebras with Hilbert function \(\left(1,n+1, 1+\binom{n+1}{2},\dots,\binom{n+1}{2}+1, n+1,1\right)\), Nonabelian 2D gauge theories for determinantal Calabi-Yau varieties, Structure theory for some classes of grade three perfect ideals, Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\), Constructing big Gorenstein ideals from small ones, Classification of the Tor-algebras of codimension four Gorenstein local rings, Tight double linkage of Gorenstein algebras, Monomial conjecture and complete intersections

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