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

TL;DR

This survey highlights J.-P. Demailly's contributions to complex geometry, focusing on his methods related to the Fujita conjecture and the Kähler cone of compact Kähler manifolds.

Contribution

It reviews several of Demailly's key results and approaches in complex geometry, emphasizing his work on the Fujita conjecture and Kähler cone.

Findings

Discussion of Demailly's approach to Fujita conjecture

Results on the structure of the Kähler cone

Overview of mathematical achievements in complex geometry

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".