Connectedness of Hilbert function strata and other connectedness results
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Publication:1575029
DOI10.1016/S0022-4049(99)00068-7zbMath0986.14002WikidataQ126377360 ScholiaQ126377360MaRDI QIDQ1575029
Publication date: 29 May 2002
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Castelnuovo-Mumford regularityconnectedness of subsets of the Hilbert schemeHilbert function stratum
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05) Connected and locally connected spaces (general aspects) (54D05) Topological properties in algebraic geometry (14F45)
Related Items
Families of Artinian and one-dimensional algebras, Minimal Castelnuovo–Mumford Regularity for a Given Hilbert Polynomial, The scheme of liftings and applications, Ancestor ideals of vector spaces of forms, and level algebras., Hilbert scheme strata defined by bounding cohomology, Double-generic initial ideal and Hilbert scheme, Smooth and irreducible multigraded Hilbert schemes, The Locus of Points of the Hilbert Scheme with Bounded Regularity, On the reducibility of the postulation Hilbert scheme
Cites Work
- A stratification of the Hilbert scheme of points in the projective plane
- Durch Hilbertfunktionen definierte Unterschemata des Hilbertschemas. (Subschemes of the Hilbert scheme defined by Hilbert functions)
- Einige einfach-zusammenhaengende Hilbertschemata
- Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
- Théorème de division et stabilité en géométrie analytique locale
- Connectedness of Hilbert scheme
- Admissible orders and linear forms
- Betti numbers, castelnuovo mumford regularity, and generalisations of macaulay's theorem
- What can be computed in algebraic geometry?
- Lectures on Curves on an Algebraic Surface. (AM-59)
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