Gröbner bases for spaces of quadrics of low codimension.

DOI10.1006/aama.1999.0676zbMath1046.13001OpenAlexW2014657755MaRDI QIDQ1973868

Aldo Conca

Publication date: 2000

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1999.0676

zbMATH Keywords

Gröbner basis of quadricsquadratic standard graded algebra

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02)

Related Items (16)

Existence and Constructions of Totally Reflexive Modules ⋮ On the Cohen-Macaulay property for quadratic tangent cones ⋮ Open problems on syzygies and Hilbert functions ⋮ The Koszul property for spaces of quadrics of codimension three ⋮ Short Koszul modules ⋮ Betti numbers of Koszul algebras defined by four quadrics ⋮ Brauer-Thrall for totally reflexive modules ⋮ Right-angled Artin groups and enhanced Koszul properties ⋮ On mixed Hessians and the Lefschetz properties ⋮ On the rate of points in projective spaces ⋮ Exact pairs of homogeneous zero divisors ⋮ The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension ⋮ Absolutely Koszul algebras and the Backelin-Roos property ⋮ Gröbner bases for spaces of quadrics of codimension 3 ⋮ Lefschetz properties for Artinian Gorenstein algebras presented by quadrics ⋮ The Varchenko-Gel'fand ring of a cone

Uses Software

• CoCoA

Cites Work

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• The Gröbner fan of an ideal
• A sparse effective Nullstellensatz
• Initial ideals, Veronese subrings, and rates of algebras
• Some features of \(CoCoA 3\)
• Number of generators of ideals
• Koszul property for points in projective spaces
• Sharp Effective Nullstellensatz

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