Sur le schéma de Hilbert des courbes de degré d et genre de ℙk3

DOI10.1016/S0764-4442(98)80049-9zbMath0916.14014OpenAlexW139721259MaRDI QIDQ4217540

Samir Ait Amrane

Publication date: 9 March 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(98)80049-9

zbMATH Keywords

degreeHilbert schemegenuslocally Cohen-Macaulay space curve

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Parametrization (Chow and Hilbert schemes) (14C05) Special algebraic curves and curves of low genus (14H45)

Related Items (3)

The Hilbert schemes of locally Cohen-Macaulay curves in \(\mathbb{P}^3\) may after all be connected ⋮ Smooth curves specialize to extremal 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 \(g=(d-3)(d-4)/2\))

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