Surjectivity of Gaussian maps for curves on Enriques surfaces

A. L. Knutsen; A. F. Lopez

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arXiv · math/0610173

Surjectivity of Gaussian maps for curves on Enriques surfaces

A. L. Knutsen·A. F. Lopez

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Abstract

Making suitable generalizations of known results we prove some general facts about Gaussian maps. The above are then used, in the second part of the article, to give a set of conditions that insure the surjectivity of Gaussian maps for curves on Enriques surfaces. To do this we also solve a problem of independent interest: a tetragonal curve of genus g > 6 lying on an Enriques surface and general in its linear system, cannot be, in its canonical embedding, a quadric section of a surface of degree g - 1 in P^{g - 1}.

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BibTeX RIS

A. L. Knutsen, A. F. Lopez. 2006-10-05. Surjectivity of Gaussian maps for curves on Enriques surfaces. https://arxiv.org/abs/math/0610173

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