Smooth curves possessing a small number of linear systems computing the gonality.

DOI10.1016/S0019-3577(99)80017-2zbMath1060.14515OpenAlexW2072165077MaRDI QIDQ698643

Marc Coppens

Publication date: 22 September 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(99)80017-2

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Projective techniques in algebraic geometry (14N05) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (2)

Smooth curves possessing a small number of linear systems computing the gonality. ⋮ The unirational components of the strata of genus \(11\) curves with several pencils of degree \(6\) in \(\mathcal{M}_{11}\)

Cites Work

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• Smooth curves possessing many linear systems \(g^ 1_ n\)
• Smooth curves possessing a small number of linear systems computing the gonality.
• Footnotes to a paper of Beniamino Segre. (The number of \(g^1_d\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves)
• Families of smooth \(k\)-gonal curves with another fixed pencil
• The existence of \(k\)-gonal curves possessing exactly two linear systems \(g_ k^ 1\)
• On curves of genus eight
• On the curves through a general point of a smooth surface in \(\mathbb{P}^ 3\)
• The gonality of curves on a Hirzebruch surface
• The gonality of smooth curves with plane models
• On Castelnuovo's Inequality for Algebraic Curves. I
• On G. Martens' Characterization of Smooth Plane Curves
• On the situation of nodes of plane curves

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