On the second Gaussian map for curves on a K3 surface

DOI10.1215/00277630-2010-006zbMath1208.14021arXiv0905.2330OpenAlexW1565651160MaRDI QIDQ3055490

Elisabetta Colombo, Paola Frediani

Publication date: 8 November 2010

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.2330

zbMATH Keywords

canonical bundleWahl mapGaussian mapcurves on \(K3\) surfacessecond Gaussian map

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Families, moduli of curves (algebraic) (14H10)

Related Items (4)

Prym map and second Gaussian map for Prym-canonical line bundles ⋮ Gauss‐Prym maps on Enriques surfaces ⋮ The rank of the second Gaussian map for general curves ⋮ Hyperplane sections of abelian surfaces

Cites Work

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• On K3 surfaces with large Picard number
• Gaussian maps on algebraic curves
• Hyperplane sections of abelian surfaces
• Siegel metric and curvature of the moduli space of curves
• On degrees and genera of curves on smooth quartic surfaces in P³
• Classification of varieties with canonical curve section via Gaussian maps on canonical curves
• Vanishing theorems.
• Projective Models of K - 3 Surfaces
• On the Corank of Gaussian Maps for General Embedded K3 Surfaces

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