3 papers
math.AG2025
Equivariant automorphism group and real forms of complexity-one varieties
Giancarlo Lucchini Arteche, Ronan Terpereau
Let G be a connected reductive algebraic group over a perfect field. We study the representability of the equivariant automorphism group of G-varieties. For a broad class of comple…
math.RA2025
Central simple algebras, Milnor -theory and homogeneous spaces over complete discretely valued fields of dimension 2
Philippe Gille, Diego Izquierdo, Giancarlo Lucchini Arteche
Let be a complete discretely valued field with residue field of dimension (not necessarily perfect). This occurs if and only if has dimension . We prove the…
math.AG2018
The Hasse principle for homogeneous spaces with nilpotent stabilizer (Le principe de Hasse pour les espaces homogènes à stabilisateur fini)
Giancarlo Lucchini Arteche
We prove that the Brauer-Manin obstruction is the only obstruction to the Hasse principle for homogeneous spaces with nilpotent stabilizer. We thus generalize recent results by Har…