Convexity on the space of Kähler metrics

Berndtsson, Bo

Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 22 (2013) no. 4, pp. 713-746.

On présente ici les notes d’un mini-cours donné lors d’une école d’hiver à Marseille en 2011. Le but du cours était de fournir une introduction à des travaux récents sur la géométrie de l’espace des métriques kählériennes associées à un fibré en droites ample. Le cours a mis l’accent sur le rôle de la convexité, en tant qu’exemple motivant et en tant qu’outil.

These are the lecture notes of a minicourse given at a winter school in Marseille 2011. The aim of the course was to give an introduction to recent work on the geometry of the space of Kähler metrics associated to an ample line bundle. The emphasis of the course was the role of convexity, both as a motivating example and as a tool.

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