2 citations · 3 across the 14 of their papers we have counts for
14 papers
Pencils of double coverings of curves
Luis Fuentes Garcia
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 penc…
The generic special scroll of genus g in Pn. Special scrolls in P3
Luis Fuentes Garcia, Manuel Pedreira Perez
We study the generic linearly normal special scroll of genus g in P^N. Moreover, we give a complete classification of the linearly normal scrolls in P^3 of genus 2 and 3.
Seshadri constants in finite subgroups of abelian surfaces
Luis Fuentes Garcia
Given an etale quotient q:X->Y of smooth projective varieties we relate the simple Seshadri constant of a line bundle M on Y with the multiple Seshadri constant of q*M in the point…
A note on multiple Seshadri constants on surfaces
Luis Fuentes Garcia
We give a bound for the multiple Seshadri constants on surfaces with Picard number 1. The result is a natural extension of the bound of A. Steffens for simple Seshadri constants. I…
Cyclic coverings and Seshadri constants on smooth surfaces
Luis Fuentes Garcia
We study the Seshadri constants of cyclic coverings of smooth surfaces. The existence of an automorphism on these surfaces can be used to produce Seshadri exceptional curves. We gi…
Seshadri constants on ruled surfaces: the rational and the elliptic cases
Luis Fuentes Garcia
We study the Seshadri constants on geometrically ruled surfaces. The unstable case is completely solved. Moreover, we give some bounds for the stable case. We apply these results t…