Pencils of double coverings of curves
Algebraic Geometry
2007-05-23 v1
Abstract
Let X be a smooth curve of genus g. When pi>=3g and d>=pi-2g+1 we show the existence of a double covering gamma:C-->X where C a smooth curve of genus pi with a base-point-free pencil of degree d which is not the pull-back of a pencil on X.
Cite
@article{arxiv.math/0701472,
title = {Pencils of double coverings of curves},
author = {Luis Fuentes Garcia},
journal= {arXiv preprint arXiv:math/0701472},
year = {2007}
}