ON TWO CONJECTURES FOR CURVES ON K3 SURFACES

DOI10.1142/S0129167X09005881zbMath1197.14042arXiv0705.0302WikidataQ123155164 ScholiaQ123155164MaRDI QIDQ5852048

Andreas Leopold Knutsen

Publication date: 26 January 2010

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

Full work available at URL: https://arxiv.org/abs/0705.0302

zbMATH Keywords

\(K3\) surfacesBrill-Noether theory

Mathematics Subject Classification ID

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

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Gonality and Clifford index of curves on elliptic \(K3\) surfaces with Picard number two ⋮ Global sections of twisted normal bundles of \(K3\) surfaces and their hyperplane sections ⋮ On curves on \(K3\) surfaces: III ⋮ New examples of curves with a one-dimensional family of pencils of minimal degree ⋮ Green’s conjecture for curves on arbitrary K3 surfaces ⋮ On the semistability of certain Lazarsfeld-Mukai bundles on abelian surfaces ⋮ Open problems ⋮ Curves on surfaces with trivial canonical bundle ⋮ Special divisors on curves on \(K3\) surfaces carrying an Enriques involution ⋮ Curves with maximally computed Clifford index ⋮ Brill-Noether general \(K3\) surfaces with the maximal number of elliptic pencils of minimal degree ⋮ Canonical syzygies of smooth curves on toric surfaces ⋮ Semistability of Lazarsfeld–Mukai bundles via parabolic structures ⋮ Brill-Noether theory of curves on Enriques surfaces. II: The Clifford index

Cites Work

• Special divisors on curves on a K3 surface
• On the Kodaira dimension of the moduli space of curves
• \(K3\) projective models in scrolls
• Projective Models of K - 3 Surfaces
• A sharp vanishing theorem for line bundles on K3 or Enriques surfaces
• On the Structure of Compact Complex Analytic Surfaces, I
• On \(k\)th-order embeddings of \(K3\) surfaces and Enriques surfaces