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math.AG2002
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…
math.AG2002
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…