68 citations · 108 across the 19 of their papers we have counts for
3 papers · 2 filters
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…
Ample Vector Bundles and Branched Coverings, II
Thomas Peternell, Andrew Sommese
In continuation of our work in Comm. in Algebra, vol. 28 (2000), we study ramified coverings of projective manifolds, in particular over Fano manifolds and investigate positivity p…
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…