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 initiate a systematic quantitative study of subsets of rational points that are integral with
respect to a weighted boundary divisor on Fano orbifolds. We call the points in these sets …

We introduce a general framework for studying special subsets of rational points on an
algebraic variety, termed $\mathcal {M} $-points. The notion of $\mathcal {M} $-points …

We study weak approximation and the Hilbert property for Campana points, both of
importance in recent work on a Manin-type conjecture by Pieropan, Smeets, Tanimoto and …

Starting from an Enriques surface over $\mathbb {Q}(t) $ considered by Lafon, we give the
first examples of smooth projective weakly special threefolds which fiber over the projective …

Almost one decade ago, Poonen constructed the first examples of algebraic varieties over
global fields for which Skorobogatovs étale BrauerManin obstruction does not explain the …

For rational points on algebraic varieties defined over a number field K, we study the
behavior of the property of weak approximation with Brauer–Manin obstruction under …

We give a definition of Cox rings and Cox sheaves for varieties over nonclosed fields that is
compatible with torsors under quasitori, including universal torsors. We study their existence …

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 smooth connected projective manifold defined over a number field k. We give
below a conjectural qualitative description of X (k') for k'a sufficiently large number field …