68 citations · 68 across the 1 of their papers we have counts for
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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…