G. Arteche

activity

20132026

most citedThe Grunwald problem and approximation properties for homogeneous spaces

26 citations · 61 across the 18 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AG2018

Homogeneous spaces, algebraic $K$ -theory and cohomological dimension of fields

Diego Izquierdo, Giancarlo Lucchini Arteche

Let $q$ be a non-negative integer. We prove that a perfect field $K$ has cohomological dimension at most $q + 1$ if, and only if, for any finite extension $L$ of $K$ and for any homo…

math.AG2018★ 2 cited

Smooth quotients of abelian surfaces by finite groups that fix the origin

Robert Auffarth, Giancarlo Lucchini Arteche, Pablo Quezada

Let $A$ be an abelian surface and let $G$ be a finite group of automorphisms of $A$ fixing the origin. Assume that the analytic representation of $G$ is irreducible. We give a clas…

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…

Homogeneous spaces, algebraic K-theory and cohomological dimension of fields

Smooth quotients of abelian surfaces by finite groups that fix the origin

The Hasse principle for homogeneous spaces with nilpotent stabilizer (Le principe de Hasse pour les espaces homogènes à stabilisateur fini)

Homogeneous spaces, algebraic $K$ -theory and cohomological dimension of fields