The hilbert schemes of degree three curves

DOI10.1016/S0012-9593(97)89925-9zbMath0892.14004arXivalg-geom/9603011OpenAlexW1978761742WikidataQ126570090 ScholiaQ126570090MaRDI QIDQ4342598

Scott Nollet

Publication date: 27 July 1998

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9603011

zbMATH Keywords

connectednessHilbert schemeKoszul moduleRao modulelocally Cohen-Macaulay space curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05) Topological properties in algebraic geometry (14F45)

Related Items

Curves with degenerate general hypersurface sections., On the fixed locus of framed instanton sheaves on \(\mathbb{P}^3\), Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space, Subextremal curves, The Hilbert schemes of locally Cohen-Macaulay curves in \(\mathbb{P}^3\) may after all be connected, Moduli of distributions via singular schemes, A local study of the fiber-full scheme, A partial description of the Chow variety of 1-cycles of degree 3 in \({\mathbb P}^3\), Classification of the invariants of foliations by curves of low degree on the three-dimensional projective space, Geometry of canonical genus 4 curves, Codimension one distributions of degree 2 on the three-dimensional projective space, Asymptotic behavior of the dimension of the Chow variety, Smooth curves specialize to extremal curves, La connexité asymptotique du schéma de Hilbert des courbes gauches, Curves on Segre threefolds, Bounds on the Rao function, Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\), Sur le schéma de Hilbert des courbes gauches de degré \(d\) et genre \(g=(d-3)(d-4)/2\). (On the Hilbert scheme of space curves of degree \(d\) and genus \(g=(d-3)(d-4)/2\)), Hilbert schemes with two Borel-fixed points

Cites Work

• Connectedness of Hilbert scheme
• Nonstable Reflexive Sheaves on P 3
• On Linking Double Lines
• Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
• Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item