Irreducibility of the Hilbert scheme of smooth curves in \(\mathbb {P}^3\) of degree \(g\) and genus \(g\)

DOI10.1007/s00013-016-1017-9zbMath1366.14030arXiv1703.07516OpenAlexW2580698459MaRDI QIDQ2628058

Changho Keem, Yun-Hwan Kim

Publication date: 9 June 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07516

zbMATH Keywords

Hilbert schemesspace curves

Mathematics Subject Classification ID

Plane and space curves (14H50) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (8)

On the Hilbert scheme of smooth curves in ℙ4 of degree d = g + 1 and genus g with negative Brill–Noether number ⋮ On the Hilbert scheme of linearly normal curves in \(\mathbb{P}^r\) with small index of speciality ⋮ 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 \(g\) ⋮ Existence and reducibility of the Hilbert scheme of smooth and linearly normal curves in \(\mathbb{P}^r\) of relatively high degrees ⋮ 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

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• Reducible Hilbert Scheme of Smooth Curves with Positive Brill-Noether Number
• On the irreducibility of the Hilbert scheme of space curves

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