2 papers
math.NT2021
Persistence of the Brauer-Manin obstruction on cubic surfaces
Carlos Rivera, Bianca Viray
Let be a cubic surface over a global field . We prove that a Brauer-Manin obstruction to the existence of -points on will persist over every extension with degr…
math.NT2018
The integral trace form as a complete invariant for real number fields
Guillermo Mantilla-Soler, Carlos Rivera
In the past the first named author has studied to what extent the integral trace can characterize a number field beyond what the discriminant does. The cases of cyclic number field…