68 citations · 68 across the 3 of their papers we have counts for
9 papers
The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
Sébastien Boucksom, Jean-Pierre Demailly, Mihai Paun +1
We prove that a holomorphic line bundle on a projective manifold is pseudo-effective if and only if its degree on any member of a covering family of curves is non-negative. This is…
Line bundles on complex tori and a conjecture of Kodaira
Jean-Pierre Demailly, Thomas Eckl, Thomas Peternell
A famous conjecture attributed to Kodaira asks whether any compact Kaehler manifold can be approximated by projective manifolds. We confirm this conjecture on projectivized direct…
A Kawamata-Viehweg Vanishing Theorem on compact Kahler manifolds
Jean-Pierre Demailly, Thomas Peternell
We prove a Kawamata-Viehweg vanishing theorem on a normal compact Kahler space X: if L is a nef line bundle with numerical dimension at least equal to 2, then the q-th cohomology g…
Numerical characterization of the Kähler cone of a compact Kähler manifold
Jean-Pierre Demailly, Mihai Paun
The goal of this work is give a precise numerical description of the Kähler cone of a compact Kähler manifold. Our main result states that the Kähler cone depends only on the inter…
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…