4 papers · 1 filter
Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces
Victoria Cantoral-Farfán, Alice Garbagnati, Cecília Salgado +2
We study K3 surfaces over a number field which are double covers of extremal rational elliptic surfaces. We provide a list of all elliptic fibrations on certain K3 surfaces tog…
Elliptic fibrations on K3 surfaces with a non-symplectic involution fixing rational curves and a curve of positive genus
Alice Garbagnati, Cecília Salgado
In this paper we complete the classification of the elliptic fibrations on K3 surfaces which admit a non-symplectic involution acting trivially on the Néron--Severi group. We use t…
Lower bounds for the rank of families of abelian varieties under base change
Marc Hindry, Cecília Salgado
We consider the following question : given a family over abelian varieties over a curve defined over a number field , how does the rank of the Mordell-Weil gro…
Linear systems on rational elliptic surfaces and elliptic fibrations on K3 surfaces
Alice Garbagnati, Cecília Salgado
We consider K3 surfaces which are double cover of rational elliptic surfaces. The former are endowed with a natural elliptic fibration, which is induced by the latter. There are al…