Hilbert functions and Betti numbers in a flat family

DOI10.1007/BF01766597zbMath0591.14007MaRDI QIDQ1074676

Silvio Greco, M. Boratynski

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Betti numbersHilbert functionsfibers of flat family of closed subschemes

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05)

Related Items (max. 100)

Bi-graded Koszul modules, K3 carpets, and Green's conjecture ⋮ A uniform Artin-Rees theorem and Zariski's main lemma on holomorphic functions ⋮ Fat points on a conic ⋮ On Flat Families of Fat Points ⋮ On some Gorenstein loci in \(\mathcal Hilb_6(\mathbb P^4_k)\) ⋮ Green-Lazarsfeld's conjecture for generic curves of large gonality. ⋮ The Hilbert scheme of Buchsbaum space curves ⋮ The resolution of paracanonical curves of odd genus ⋮ Reducible family of height three level algebras ⋮ Degenerate (r-2)-dimensional subvarieties through the generic hyperplane section of a reduced irreducible complex curve in \({\mathbb{P}}^ r\)

Cites Work

• The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
• Monomial ideals and points in projective space
• Minimally generating ideals defining certain tangent cones
• Connectedness of Hilbert scheme
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