La connexité asymptotique du schéma de Hilbert des courbes gauches

DOI10.1007/BF02844916zbMath1128.14300MaRDI QIDQ5441037

Daniel Perrin

Publication date: 7 February 2008

Published in: ANNALI DELL UNIVERSITA DI FERRARA (Search for Journal in Brave)

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05)

Cites Work

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• Construction of minimal families of space curves
• 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 \(g=(d-3)(d-4)/2\))
• Triads and families of space curves
• A theorem of Rao for families of space curves
• Connectedness of Hilbert scheme
• A remark on connectedness in hilbert schemes
• Un contre-exemple sur les families de courbes gauches
• On the connectedness of the hilbert scheme of curves in P³
• Footnote to a paper by hartshorne
• Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit
• The hilbert schemes of degree three curves
• A step towards the connectedness of the Hilbert scheme: The Koszul curves are in the component of extremal curves

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