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 > 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.
LOPEZ A, & KNUTSEN A.L (2007). Surjectivity of Gaussian maps for curves on Enriques surfaces. ADVANCES IN GEOMETRY, 7, 215-247.
Titolo: | Surjectivity of Gaussian maps for curves on Enriques surfaces |
Autori: | |
Data di pubblicazione: | 2007 |
Rivista: | |
Citazione: | LOPEZ A, & KNUTSEN A.L (2007). Surjectivity of Gaussian maps for curves on Enriques surfaces. ADVANCES IN GEOMETRY, 7, 215-247. |
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 > 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. |
Handle: | http://hdl.handle.net/11590/142355 |
Appare nelle tipologie: | 1.1 Articolo in rivista |