Irreducibility and components rigid in moduli of the Hilbert scheme of smooth curves
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Publication:2312834
DOI10.1007/s00209-018-2130-1zbMath1423.14029arXiv1605.00297OpenAlexW2963554335MaRDI QIDQ2312834
Angelo Felice Lopez, Yun-Hwan Kim, Changho Keem
Publication date: 18 July 2019
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.00297
Parametrization (Chow and Hilbert schemes) (14C05) Divisors, linear systems, invertible sheaves (14C20) Special divisors on curves (gonality, Brill-Noether theory) (14H51)
Related Items (8)
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 ⋮ 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 ⋮ Linear series with \(\rho<0\) via thrifty Lego building ⋮ 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 \(g\)
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