Jean-Pierre Demailly 2026-11-05
Jean-Pierre Demailly developed analytic methods in complex geometry and algebraic geometry. His author bibliography includes extensive treatments of Hodge theory, positivity and the analysis of complex manifolds.[ref]
His Complex Analytic and Differential Geometry by Jean-Pierre Demailly connects local analytic tools with global geometric objects: Cauchy integral formulas and the Dolbeault operator lead into sheaf cohomology, divisors and line bundles. His geometric lectures also derive the Ricci form from the logarithmic determinant of a Kähler metric, making curvature computable in complex coordinates.[ref][ref]