4 papers
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…
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…
Product of Brauer--Manin obstruction for 0-cycles over number fields and function fields
Diego Izquierdo, Yongqi Liang, Hui Zhang
It is conjectured that the Brauer--Manin obstruction is expected to control the existence of 0-cycles of degree 1 on smooth proper varieties over number fields. In this paper, we p…
Tessellations of an affine apartment by affine weight polytopes
Claudio Bravo, Auguste Hébert, Diego Izquierdo +1
Let $\A$ be a finite dimensional vector space and be a finite root system in $\A$. To this data is associated an affine poly-simplicial complex. Motivated by a forthcoming con…