• Published 1996

HOLOMORPHIC LINE BUNDLES WITH PARTIALLY VANISHING COHOMOLOGY

@inproceedings{Demailly1996HOLOMORPHICLB,
  title={HOLOMORPHIC LINE BUNDLES WITH PARTIALLY VANISHING COHOMOLOGY},
  author={Jean-Pierre Demailly and Thomas Peternell and Michael Schneider},
  year={1996}
}
One of the most fundamental facts of algebraic geometry is the possibility of characterizing ampleness of line bundles by numerical criteria (Nakai-Moishezon, Kleiman-Seshadri,. . .), or by cohomology vanishing theorems. Over the complex numbers, ampleness is moreover equivalent to the existence of a metric of positive curvature (Kodaira). The case of line bundles with curvature of mixed signature is also of a considerable importance. Andreotti and Grauert [AG62] have proved the following… CONTINUE READING

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