Nodal Curves with General Moduli onK3 Surfaces

DOI10.1080/00927870802174082zbMath1187.14030arXiv0707.0157OpenAlexW2079983631MaRDI QIDQ3548566

Andreas Leopold Knutsen, Edoardo Sernesi, Gianluca Pacienza, Flaminio Flamini

Publication date: 16 December 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0157

zbMATH Keywords

moduli spaces\(K3\) surfacesnodal curves

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Families, moduli of curves (algebraic) (14H10) Parametrization (Chow and Hilbert schemes) (14C05) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Uniruledness of strata of holomorphic differentials in small genus ⋮ A note on deformations of regular embeddings ⋮ Uniruledness of some moduli spaces of stable pointed curves ⋮ Modular properties of nodal curves on \(K3\) surfaces ⋮ On universal Severi varieties of low genus \(K3\) surfaces ⋮ On \(k\)-gonal loci in Severi varieties on general \(K3\) surfaces and rational curves on hyperkähler manifolds ⋮ Moduli of nodal curves on \(K3\) surfaces ⋮ A note on gonality of curves on general hypersurfaces ⋮ Degeneration of differentials and moduli of nodal curves on 𝐾3 surfaces ⋮ The Wahl map of one-nodal curves on K3 surfaces ⋮ The moduli of singular curves on \(K3\) surfaces ⋮ Limits of Pluri–Tangent Planes to Quartic Surfaces ⋮ Curves of maximal moduli on K3 surfaces

Cites Work

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• The Jacobian algebra of a graded Gorenstein singularity
• Sections hyperplanes des surfaces K3
• Families of curves with nodes on K-3 surfaces
• Nodal curves on surfaces of general type
• Brill-Noether theory on singular curves and torsion-free sheaves on surfaces
• SOME RESULTS OF REGULARITY FOR SEVERI VARIETIES OF PROJECTIVE SURFACES
• Deformations of Algebraic Schemes
• Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture
• SINGULAR CURVES ON A K3 SURFACE AND LINEAR SERIES ON THEIR NORMALIZATIONS

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