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Surjectivity of Gaussian maps for curves on Enriques surfaces
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Andreas Leopold Knutsen
and
Angelo Felice Lopez
Published/Copyright:
June 18, 2007
Abstract
Making suitable generalizations of known results we prove some general facts about Gaussian maps. These facts 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 ≥ 7 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 ℙg−1.
Received: 2005-12-22
Published Online: 2007-06-18
Published in Print: 2007-04-19
© Walter de Gruyter
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Articles in the same Issue
- The Poncelet grid
- On hyperbolic Coxeter n-polytopes with n + 2 facets
- Dense near octagons with four points on each line, II
- On the Hermitian curvature of symplectic manifolds
- Surjectivity of Gaussian maps for curves on Enriques surfaces
- Compact Tits quadrangles as Lie geometries of topological Laguerre spaces
- On the roots of the Steiner polynomial of a 3-dimensional convex body
- Circular surfaces
- Addendum to “Classification of generalized polarized manifolds by their nef values”
