Reducibility of the Hilbert scheme of smooth curves and families of double covers

DOI10.11650/tjm/7839zbMath1390.14019OpenAlexW2618411607MaRDI QIDQ1750692

Seonja Kim, Youngook Choi, Hristo Krassimirov Iliev

Publication date: 23 May 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1498874608

zbMATH Keywords

double coversBrill-Noether theoryHilbert scheme of smooth connected curves

Mathematics Subject Classification ID

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

Related Items (2)

On Some Components of Hilbert Schemes of Curves ⋮ Components of the Hilbert scheme of smooth projective curves using ruled surfaces

Cites Work

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• ON THE IRREDUCIBILITY OF THE FAMILY OF ALGEBRAIC CURVES IN COMPLEX PROJECTIVE SPACEP^r
• Geometry of Algebraic Curves
• On the Irreducibility of the Hilbert Scheme of Curves inℙ⁵
• Hilbert scheme of smooth space curves
• Moduli spaces of algebraic curves with rational maps
• Reducible Hilbert Scheme of Smooth Curves with Positive Brill-Noether Number

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