Irreducibility of a subscheme of the Hilbert scheme of complex space curves

DOI10.1016/0021-8693(92)90190-WzbMath0783.14002MaRDI QIDQ1183297

Changho Keem, Seonja Kim

Publication date: 28 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Hilbert schemecomplex space curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Schemes and morphisms (14A15)

Related Items (18)

Irreducibility of the Hilbert scheme of smooth curves in \(\mathbb {P}^3\) of degree \(g\) and genus \(g\) ⋮ On the birational geometry of moduli spaces of pointed curves ⋮ On the Hilbert scheme of smooth curves in ℙ4 of degree d = g + 1 and genus g with negative Brill–Noether number ⋮ Curves in projective spaces: questions and remarks ⋮ Irreducibility of the Hilbert scheme of smooth curves in \(\mathbb {P}^4\) of degree \(g+2\) and genus \(g\) ⋮ On the Irreducibility of the Hilbert Scheme of Curves inℙ⁵ ⋮ The Hilbert Scheme of Space Curves of Degreedand Genus 3d−18 ⋮ Interpolation for Brill-Noether space curves ⋮ Reducibility of the Hilbert scheme of smooth curves and families of double covers ⋮ Maximal rank of space curves in the range A ⋮ Irréductibilité de pourd ≤ 11 etg ≤ 2d − 9 ⋮ On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^4\) of degree \(d = g+1\) and genus \(g\) ⋮ A remark on the Hilbert scheme of smooth complex space curves ⋮ Irreducibility and components rigid in moduli of the Hilbert scheme of smooth curves ⋮ On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^r\) of relatively high degree ⋮ The generality of a section of a curve ⋮ A Few Remarks About the Hilbert Scheme of Smooth Projective Curves ⋮ Noether-Lefschetz, space curves and mathematical instantons

Cites Work

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• On the variety of special linear systems on an algebraic curve
• Divisors on general curves and cuspidal rational curves
• On the Clifford index of a general \((e+2)\)-gonal curve
• Su una congettura di Petri
• A few remarks about the variety of irreducible plane curves of given degree and genus
• On the Clifford Index of Algebraic Curves
• Hilbert scheme of smooth space curves

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