8 papers
Some results about the projective normality of abelian varieties
Luis Fuentes Garcia
We reduce the problem of the projective normality of polarized abelian varieties to check the rank of very explicit matrices. This allow us to prove some results on normal generati…
Projective normality of abelian surfaces of type (1,2d)
Luis Fuentes Garcia
We show that an abelian surface embedded in P^N by a very ample line bundle L of type (1,2d) is projectively normal if and only if d>=4. This completes the study of the projective…
A note on Abelian varieties embedded in quadrics
Luis Fuentes Garcia
We show that if A is a d-dimensional abelian variety in a smooth quadric of dimension 2d then d=1 and A is an elliptic curve of bidegree (2,2) on a quadric. This extends a result o…
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.