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math.AG2017
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…
math.AG2017
Elliptic fibrations on covers of the elliptic modular surface of level 5
Francesca Balestrieri, Julie Desjardins, Alice Garbagnati +3
We consider the K3 surfaces that arise as double covers of the elliptic modular surface of level 5, . Such surfaces have a natural elliptic fibration induced by the fibrat…
math.AG2017
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…