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arXiv · 0806.2912

Variétés rationnellement connexes sur un corps algébriquement clos

L. Bonavero
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Abstract

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 variétés rationnellement connexes, écrit pour les Etats de la Recherche de la Société Mathématique de France (Strasbourg, 2008). On met l'accent sur les aspects géométriques. Ce cours est rédigé dans l'espoir de s'adresser à un public large, à l'exception peut-être du §7, où nous donnons les grandes lignes de la preuve de la conjecture de connexité rationnelle de Shokurov par Hacon et McKernan, plus technique et où les prérequis sont un peu plus importants.

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L. Bonavero. 2010-09-28. Variétés rationnellement connexes sur un corps algébriquement clos. https://arxiv.org/abs/0806.2912

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