Surjectivity of Gaussian maps for curves on Enriques surfaces
Algebraic Geometry
2007-05-23 v1
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}.
Keywords
Cite
@article{arxiv.math/0610173,
title = {Surjectivity of Gaussian maps for curves on Enriques surfaces},
author = {A. L. Knutsen and A. F. Lopez},
journal= {arXiv preprint arXiv:math/0610173},
year = {2007}
}
Comments
latex, 28 pages. To appear on Adv. Geom