5 papers
Projective normality of special scrolls II
Luis Fuentes Garcia, Manuel Pedreira Perez
We study the projective normality of a linearly normal special scroll R of degree d and speciality i over a smooth curve X of genus g. We relate it with the Clifford index of the b…
Involutions of a canonical curve
Luis Fuentes Garcia, Manuel Pedreira Perez
We give a geometrical characterization of the ideal of quadrics containing a canonical curve with an involution. This implies to study involutions of rational normal scrolls and Ve…
Dimension of the Moduli Space of curves with an involution
Luis Fuentes Garcia, Manuel Pedreira Perez
Given a smooth curve X of genus g we compute de dimension of the family of curves C which have an involution over X. Moreover we distinguish when the curve C is hyperelliptic.
Projective normality of special scrolls
Luis Fuentes Garcia, Manuel Pedreira Perez
We study the projective normality of a linearly normal special scroll R of degree d and speciality i over a smooth curve of genus g. If d>=4g-2i+1, we prove that the projective nor…
The Projective Theory of Ruled Surfaces
Luis Fuentes Garcia, Manuel Pedreira Perez
The aim of this paper is to get some results about ruled surfaces which configure a projective theory of scrolls and ruled surfaces. Our ideas follow the viewpoint of Corrado Segre…