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 …

Soit $ X $ une compactification lisse d'un espace homogène d'un groupe algébrique linéaire
$ G $ sur un corps de nombres $ k $. Nous établissons la conjecture de Colliot-Thélène …

We report on progress in the qualitative study of rational points on rationally connected
varieties over number fields, also examining integral points, zero-cycles, and non-rationally …

We revisit the abstract framework underlying the fibration method for producing rational
points on the total space of fibrations over the projective line. By fine-tuning its dependence …

We give formulas for calculating the unramified Brauer group of a homogeneous space $ X
$ of a semisimple simply connected group $ G $ with finite geometric stabilizer $\bar F …

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 …

Let X be a homogeneous space of a reductive group with reductive stabilizers, defined over
a global field of positive characteristic. Using duality theorems for complexes of tori, we study …

This expository essay is focused on the Shafarevich–Tate set of a group G. Since its
introduction for a finite group by Burnside, it has been rediscovered and redefined more than …

Résumé On développe différentes formules de nature algébrique et/ou arithmétique
permettant de calculer explicitement, tant sur un corps fini que sur un corps de …