Showing math.AGShow all
3 papers · 1 filter
math.AG2026
Real approximation for homogeneous spaces with finite stabilizers
David Harari, Nguyên M\d{a}nh Linh, Giancarlo Lucchini Arteche
We prove some new cases of real appoximation for homogeneous spaces with finite stabilizers and describe the state of the art around this question, giving proofs that are well-know…
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.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…