Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Page 1 The Brauer– Grothendieck Group
Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Ergebnisse der Mathematik und ihrer …

We provide a relation between Brauer-Manin obstruction and descent obstruction for torsors
over not necessarily proper varieties under a connected linear algebraic group or a group of …

We study local-global questions for Galois cohomology over the function field of a curve
defined over a p-adic field (a field of cohomological dimension 3). We define Tate …

We extend the descent theory of Colliot-Thélène and Sansuc to arbitrary smooth algebraic
varieties by removing the condition that every invertible regular function is constant. This …

We study complex hyperbolic disc bundles over closed orientable surfaces that arise from
discrete and faithful representations H n→ PU (2, 1), where H n is the fundamental group of …

Building upon our arithmetic duality theorems for 1-motives, we prove that the Manin
obstruction related to a finite subquotient Б (X) of the Brauer group is the only obstruction to …

Let G be a connected linear algebraic group over a number field k. We establish an exact
sequence describing the closure of the group G (k) of rational points of G in the group of …

This is a letter (not intended for publication in a regular journal) written in response to two
referees of my preprint" Local duality theorems for commutative algebraic groups". In it, I …

Let KK be the function field of a smooth projective geometrically integral curve over a finite
extension of Q p Q_p. Following the works of Harari, Scheiderer, Szamuely, Izquierdo, and …

A less known event of 1968 in Paris was the publication of “Dix exposés sur la cohomologie
des schémas” by J. Giraud, A. Grothendieck, SL Kleiman, M. Raynaud and J. Tate. Included …