Betti numbers and lifting of Gorenstein codimension three ideals

DOI10.1080/00927870008826900zbMath1007.13007OpenAlexW2025911476MaRDI QIDQ4947085

Aldo Conca, Giuseppe Valla

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

zbMATH Keywords

Hilbert functiongraded Betti numbersminimal generators

Mathematics Subject Classification ID

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 ℙ^r, 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