The gonality of curves on a Hirzebruch surface

DOI10.1007/BF01197600zbMath0872.14022OpenAlexW1963799233MaRDI QIDQ1924988

Gerriet Martens

Publication date: 24 November 1996

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

Full work available at URL: https://doi.org/10.1007/bf01197600

zbMATH Keywords

gonalitymorphismHirzebruch surfaceruled rational surface

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Special algebraic curves and curves of low genus (14H45)

Related Items (21)

A characterization of double coverings of curves ⋮ Global sections of twisted normal bundles of \(K3\) surfaces and their hyperplane sections ⋮ On curves on rational surface scrolls ⋮ Newton polygons and curve gonalities ⋮ On the slope inequalities for extremal curves ⋮ Scroll codes over curves of higher genus: reducible and superstable vector bundles ⋮ The gonality of complete intersection curves ⋮ On curves on Hirzebruch surfaces ⋮ On the slope of relatively minimal fibrations on rational complex surfaces ⋮ The gonality and the Clifford index of curves on a toric surface ⋮ Galois morphism computing the gonality of a nonsingular projective curve on a Hirzebruch surface ⋮ On the gonality sequence of an algebraic curve ⋮ Maximal Mordell-Weil lattices of fibred surfaces with \(p_g=q=0\) ⋮ A note on gonality of curves on general hypersurfaces ⋮ A geometric characterization of toric varieties ⋮ The gonality theorem of Noether for hypersurfaces ⋮ The gonality conjecture for curves on certain toric surfaces ⋮ Smooth curves possessing a small number of linear systems computing the gonality. ⋮ Extremal trigonal fibrations on rational surfaces ⋮ Gonality and Clifford index of projective curves on ruled surfaces ⋮ The gonality sequence of covering curves

Cites Work

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• Free pencils on divisors
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