Positivity of direct image bundles and convexity on the space of Kahler metrics

Details Positivity of direct image bundles and convexity on the space of Kahler metrics Positivity of direct image bundles and convexity on the space of Kahler metrics

2006-08-15

arxiv.org/abs/math/0608385v3

Mathematics

Complex Variables

this is a revised version. Some proofs are simplified, some results are more complete and a few explanations are added

Scientific paper

We develop some results on the positivity of direct image bundles in the
particular case of a trivial fibration over a one-dimensional base. We also
apply the results to study variations of Kahler metrics.

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