New examples of curves with a one-dimensional family of pencils of minimal degree

DOI10.1007/s00013-011-0288-4zbMath1222.14067OpenAlexW1977241133MaRDI QIDQ636803

Nils Henry Williams Rasmussen

Publication date: 30 August 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-011-0288-4

zbMATH Keywords

gonalityBrill-Noether theorycurves on \(K3\) surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Cites Work

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• Special divisors on curves on a K3 surface
• Linear systems on K3-sections
• Brill-Noether-Petri without degenerations
• Cycles, curves and vector bundles on an algebraic surface
• Gonality and Clifford index of curves on \(K3\) surfaces
• On Castelnuovo's equivalence defect.
• Projective Models of K - 3 Surfaces
• ON TWO CONJECTURES FOR CURVES ON K3 SURFACES
• On \(k\)th-order embeddings of \(K3\) surfaces and Enriques surfaces

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