Diego Izquierdo

activity

20162025

collaborators

4 papers

math.RA2025

Central simple algebras, Milnor $K$ -theory and homogeneous spaces over complete discretely valued fields of dimension 2

Philippe Gille, Diego Izquierdo, Giancarlo Lucchini Arteche

Let $K$ be a complete discretely valued field with residue field $K ˉ$ of dimension $1$ (not necessarily perfect). This occurs if and only if $K$ has dimension $2$ . We prove the…

math.AG2025

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…

math.AG2018

Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields

Diego Izquierdo

Let $k$ be a finite field, a $p$ -adic field or a number field. Let $K$ be a finite extension of the Laurent series field in $m$ variables $k ((x_{1}, ..., x_{m}))$ or, more generally, a f…

math.AG2016

Dualité et principe local-global sur des corps locaux de dimension 2

Diego Izquierdo

Let $k$ be an algebraically closed field, a finite field or a $p$ -adic field. Let $K_{0} = k ((x, y))$ be the field of Laurent series in two variables over $k$ . We define Tate-Shafarevic…

Central simple algebras, Milnor K-theory and homogeneous spaces over complete discretely valued fields of dimension 2

Product of Brauer--Manin obstruction for 0-cycles over number fields and function fields

Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields

Dualité et principe local-global sur des corps locaux de dimension 2

Central simple algebras, Milnor $K$ -theory and homogeneous spaces over complete discretely valued fields of dimension 2