Varieties of cuspidal curves in \({\mathbb{P}}^ r\)

DOI10.1007/BF01452049zbMath0662.14012OpenAlexW186891945MaRDI QIDQ1113958

S. H. Smith

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164619

zbMATH Keywords

Hilbert schemesBrill-Noether numbercuspidal curvesirreducibility of the variety of curves of degree dvariety of rational curves

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Singularities of curves, local rings (14H20) Projective techniques in algebraic geometry (14N05)

Cites Work

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• Divisors on general curves and cuspidal rational curves
• A simpler proof of the Gieseker-Petri theorem on special divisors
• On the existence of certain families of curves
• On families of singular plane projective curves
• On the variety of special linear systems on a general algebraic curve
• Irreducibility and monodromy of some families of linear series
• Irreducibility of some families of linear series with Brill-Noether number. I

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