On incidence between strata of the Hilbert scheme of points on \(\mathbb{P}^{2}\)

DOI10.1007/s00209-006-0057-4zbMath1129.14007arXivmath/0503731OpenAlexW1613711906MaRDI QIDQ996027

Koen De Naeghel, Michel Van den Bergh

Publication date: 11 September 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503731

zbMATH Keywords

incidencestratificationdeformationpostulation Hilbert scheme

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05) Syzygies, resolutions, complexes and commutative rings (13D02) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (1)

Pairs of commuting nilpotent matrices, and Hilbert function

Cites Work

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• Sklyanin algebras and Hilbert schemes of points
• A stratification of the Hilbert scheme of points in the projective plane
• Maximal families of superabundant point systems in \(\mathbb{P}^ 2\)
• Ideal classes of three dimensional Artin-Schelter regular algebras.
• Ideal classes of three-dimensional Sklyanin algebras.
• The Hilbert Function of a Reduced K -Algebra
• Le problème de Brill-Noether pour les idéaux de ${P}\sp 2$
• Genre des courbes de l'espace projectif
• Obstruction Theory for Objects in Abelian and Derived Categories
• Abstract Hilbert schemes. I

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