Betti numbers and lifting of Gorenstein codimension three ideals
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Publication:4947085
DOI10.1080/00927870008826900zbMath1007.13007OpenAlexW2025911476MaRDI QIDQ4947085
Publication date: 16 September 2001
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927870008826900
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
Related Items
The equations defining blowup algebras of height three Gorenstein ideals, The smoothness and the dimension of \(PGor(H)\) and of other strata of the punctual Hilbert scheme, Equigenerated Gorenstein ideals of codimension three, Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra, Lefschetz properties of some codimension three Artinian Gorenstein algebras, Gorenstein Schemes on General Hypersurfaces of ℙr, Properties of the resolutions of almost Gorenstein algebras
Cites Work
- Standard bases of perfect homogeneous polynomial ideals of height 2
- Hilbert functions of graded algebras
- Smooth points of \(\text{Gor}(T)\)
- Reduced Gorenstein codimension three subschemes of projective space
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3