28 citations · 45 across the 13 of their papers we have counts for
16 papers
Elliptic fibrations and involutions on K3 surfaces
Alice Garbagnati, Cecília Salgado
We survey our contributions on the classification of elliptic fibrations on K3 surfaces with a non-symplectic involution. We place them in the more general framework of K3 surfaces…
Large rank jumps on elliptic surfaces and the Hilbert property
Renato Dias Costa, Cecília Salgado
Given a rational elliptic surface over a number field, we study the collection of fibers whose Mordell--Weil rank is greater than the generic rank. We give conditions on the singul…
Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4
Vladimir Mitankin, Cecília Salgado
We consider a family of smooth del Pezzo surfaces of degree four and study the geometry and arithmetic of a genus one fibration with two reducible fibres for which a Brauer element…
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…
Rational points on del Pezzo surfaces of degree four
Vladimir Mitankin, Cecília Salgado
We study the distribution of the Brauer group and the frequency of the Brauer--Manin obstruction to the Hasse principle and weak approximation in a family of smooth del Pezzo surfa…
Locally recoverable codes on surfaces
Cecília Salgado, Anthony Várilly-Alvarado, José Felipe Voloch
A linear error correcting code is a subspace of a finite-dimensional space over a finite field with a fixed coordinate system. Such a code is said to be locally recoverable with lo…