Fonctions plurisousharmoniques et g\'eom\'etrie complexe: sur quelques r\'esultats de J.-P. Demailly

Abstract

This is a survey article, presenting few of the mathematical achievements of J.-P. Demailly. We discuss a few aspects of his approach for Fujita conjecture, and results around the K\"ahler cone of a compact K\"ahler manifold. The article will appear in a special issue of "Gazette des Math\'ematiciens".