121 citations · 531 across the 36 of their papers we have counts for
4 papers · 1 filter
Pseudo-effective line bundles on compact Kähler manifolds
Jean-Pierre Demailly, Thomas Peternell, Michael Schneider
The goal of this work is to pursue the study of pseudo-effective line bundles and vector bundles. Our first result is a generalization of the Hard Lefschetz theorem for cohomology…
On the Frobenius integrability of certain holomorphic p-forms
Jean-Pierre Demailly
The goal of this note is to exhibit the integrability properties (in the sense of the Frobenius theorem) of holomorphic p-forms with values in certain line bundles with seminegativ…
L^2 Cohomology on coverings of a compact Kähler manifold
Frédéric Campana, Jean-Pierre Demailly
Andreotti-Vesentini, Ohsawa, Gromov, Kollár, among others, have observed that Hodge theory could be extended to (non compact) Kähler complete manifolds, within the L^2 framework. A…
A Subadditivity Property of Multiplier Ideals
Jean-Pierre Demailly, Lawrence Ein, Robert Lazarsfeld
Given an effective Q-divisor D on a smooth complex variety, one can associate to D its multiplier ideal sheaf J(D), which measures in a somewhat subtle way the singularities of D.…