SINGULAR CURVES ON A K3 SURFACE AND LINEAR SERIES ON THEIR NORMALIZATIONS

DOI10.1142/S0129167X0700428XzbMath1121.14017arXivmath/0505266MaRDI QIDQ5297763

Andreas Leopold Knutsen, Gianluca Pacienza, Flaminio Flamini

Publication date: 13 July 2007

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

Full work available at URL: https://arxiv.org/abs/math/0505266

zbMATH Keywords

Severi varieties\(K3\) surfacescurvesBrill-Noether theory

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Families, moduli of curves (algebraic) (14H10) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (10)

On families of rational curves in the Hilbert square of a surface ⋮ Wall divisors and algebraically coisotropic subvarieties of irreducible holomorphic symplectic manifolds ⋮ Effective divisors on \({\overline{\mathcal{M}}}_g\) associated to curves with exceptional secant planes ⋮ Curve classes on irreducible holomorphic symplectic varieties ⋮ Nodal Curves with General Moduli onK3 Surfaces ⋮ Non-surjective Gaussian maps for singular curves on $K3$ surfaces ⋮ A note on gonality of curves on general hypersurfaces ⋮ The Wahl map of one-nodal curves on K3 surfaces ⋮ Remarks on families of singular curves with hyperelliptic normalizations ⋮ The moduli of singular curves on \(K3\) surfaces

Cites Work

• Special divisors on curves on a K3 surface
• Einfache Kurvensingularitäten und torsionsfreie Moduln
• Brill-Noether-Petri without degenerations
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• Nodal curves on surfaces of general type
• Gonality and Clifford index of curves on \(K3\) surfaces
• The Kähler cone of a compact hyperkähler manifold
• Green-Lazarsfeld's conjecture for generic curves of large gonality.
• Brill-Noether theory on singular curves and torsion-free sheaves on surfaces
• Green's generic syzygy conjecture for curves of even genus lying on a \(K3\) surface
• \(K3\) projective models in scrolls
• A Brill-Noether theory for \(k\)-gonal nodal curves
• SOME RESULTS OF REGULARITY FOR SEVERI VARIETIES OF PROJECTIVE SURFACES
• Le cône kählérien d'une variété hyperkählérienne
• Projective Models of K - 3 Surfaces
• Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture
• green's canonical syzygy conjecture for generic curves of odd genus
• On \(k\)th-order embeddings of \(K3\) surfaces and Enriques surfaces

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