Mathematics – Algebraic Geometry
Scientific paper
2008-06-18
Mathematics
Algebraic Geometry
56 pages, in french. Final version : the last lecture has been re-written in collaboration with St\'ephane Druel
Scientific paper
These are lectures notes on rationally connected varieties, written for the "Etats de la Recherche" of the French Mathematical Society held in Strasbourg (May 2008). We focus on geometric aspects. These notes have been written in order that a wide audience can easily read them, except maybe the last section, a bit more technical, where we give the proof of Shokurov rational connectedness conjecture following Hacon and McKernan. ----- Ce sont les notes d'un mini-cours sur les vari\'et\'es rationnellement connexes, \'ecrit pour les Etats de la Recherche de la Soci\'et\'e Math\'ematique de France (Strasbourg, 2008). On met l'accent sur les aspects g\'eom\'etriques. Ce cours est r\'edig\'e dans l'espoir de s'adresser \`a un public large, \`a l'exception peut-\^etre du \S 7, o\`u nous donnons les grandes lignes de la preuve de la conjecture de connexit\'e rationnelle de Shokurov par Hacon et McKernan, plus technique et o\`u les pr\'erequis sont un peu plus importants.
No associations
LandOfFree
Variétés rationnellement connexes sur un corps algébriquement clos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Variétés rationnellement connexes sur un corps algébriquement clos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variétés rationnellement connexes sur un corps algébriquement clos will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-272156