Canonical Hilbert-Burch matrices for ideals of \(k[x,y]\)

DOI10.1307/mmj/1220879402zbMath1179.13020arXiv0708.3576OpenAlexW2013626057MaRDI QIDQ841525

Aldo Conca, Giuseppe Valla

Publication date: 17 September 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3576

zbMATH Keywords

lexicographic orderHilbert schemeinitial ideal

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Parametrization (Chow and Hilbert schemes) (14C05)

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Uses Software

• CoCoA

Cites Work

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• Deformations of border bases
• A stratification of the Hilbert scheme of points in the projective plane
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Description de Hilb sup(n) C{X,Y}
• \(t,q\)-Catalan numbers and the Hilbert scheme.
• On a cell decomposition of the Hilbert scheme of points in the plane.
• On Ellingsrud and Strømme's cell decomposition of \(\mathbf{Hilb}^n_{\mathbb{A}^2_\mathbb{C}}\)
• Betti strata of height two ideals
• Some theorems on actions of algebraic groups
• The graph of monomial ideals
• Punctual Hilbert schemes
• The Family G_Tof Graded Artinian Quotients ofk[x,y of Given Hilbert Function]
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