26 citations · 61 across the 18 of their papers we have counts for
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math.NT2015★ 26 cited
The Grunwald problem and approximation properties for homogeneous spaces
Cyril Demarche, Giancarlo Lucchini Arteche, Danny Neftin
Given a group and a number field , the Grunwald problem asks whether given field extensions of completions of at finitely many places can be approximated by a single fie…
math.NT2015★ 4 cited
Weak approximation for homogeneous spaces: reduction to the case with finite stabilizer
Giancarlo Lucchini Arteche
We reduce the question about whether the Brauer-Manin obstruction to weak approximation for homogeneous spaces is the only obstruction to the "simpler" question of the particular c…
math.GR2015★ 6 cited
Extensions of algebraic groups with finite quotient and nonabelian 2-cohomology
Giancarlo Lucchini Arteche
For a finite smooth algebraic group over a field and a smooth algebraic group over the separable closure of , we define the notion of -kernel in and…