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 …

Let G be an algebraic group over a field F. As defined by Serre, a cohomological invariant of
G of degree n with values in ℚ∕ ℤ (j) is a functorial-in-K collection of maps of sets Tors G …

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 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 …

Let X be a proper smooth algebraic variety defined over a number field k. We denote by Ωk
the set of all the places of k, and by kv the completion of k with respect to v∈ Ωk. Let Br (X) …

We study local–global questions for Galois cohomology over the function field of a curve
defined over ap-adic field, the main focus being weak approximation of rational points. We …

Let X be a variety over a number field F. For simplicity, let us assume in this introduction that
the set X (F) of rational points is not empty. Let S be a finite set of places of F. One says that …

Résumé Soit G un groupe linéaire connexe sur un corps de nombres k. Soit U↩→ X une
inclusion G-équivariante d'un G-espace homogene Ua stabilisateurs connexes dans une G …

Strong Approximation with Brauer–Manin Obstruction for Toric Varieties Page 1 ANNA L E S D
E L’INSTITU T FO U RIER ANNALES DE L’INSTITUT FOURIER Yang CAO & Fei XU Strong …

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 …