| Résume | Let f be a morphism of projective smooth varieties X, Y defined over the rationals. The conjecture by Colliot-Thélène under discussion gives (conjectural) sufficient conditions which imply that for almost all rational prime numbers p, the map f maps the p-adic points X(ℚ_p) surjectively onto Y(ℚ_p). The aim of the talk is to present some recent results by Denef, Skorobogatov et al; further to report on work in progress on a different method to attack the conjecture under quite relaxed hypotheses. |
