collaborators

4 papers

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.AG2026

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.NT2025

Transfer principles for Galois cohomology and Serre's conjecture II

Diego Izquierdo, Giancarlo Lucchini Arteche

In this article, we prove several transfer principles for the cohomological dimension of fields. Given a fixed field with finite cohomological dimension , the two main ones…

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…