Reducible Hilbert Scheme of Smooth Curves with Positive Brill-Noether Number

DOI10.2307/2161023zbMath0860.14003OpenAlexW4248765683MaRDI QIDQ4313323

Changho Keem

Publication date: 16 November 1994

Full work available at URL: https://doi.org/10.2307/2161023

zbMATH Keywords

F 48.068701irreducible components of the Hilbert schemepositive Brill-Noether numberreducible Hilbert scheme

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Curves in algebraic geometry (14H99)

Related Items (10)

Irreducibility of the Hilbert scheme of smooth curves in \(\mathbb {P}^3\) of degree \(g\) and genus \(g\) ⋮ 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 ⋮ Existence and reducibility of the Hilbert scheme of smooth and linearly normal curves in \(\mathbb{P}^r\) of relatively high degrees ⋮ On Some Components of Hilbert Schemes of Curves ⋮ Components of the Hilbert scheme of smooth projective curves using ruled surfaces ⋮ Reducibility of the Hilbert scheme of smooth curves and families of double covers ⋮ Maximal rank of space curves in the range A ⋮ On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^4\) of degree \(d = g+1\) and genus \(g\) ⋮ On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^r\) of relatively high degree

Cites Work

• On the Clifford index of a general \((e+2)\)-gonal curve
• Su una congettura di Petri
• Irreducibility of some families of linear series with Brill-Noether number. I
• A few remarks about the variety of irreducible plane curves of given degree and genus
• Hilbert scheme of smooth space curves
• Unnamed Item
• Unnamed Item

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