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arXiv · 1210.7369

On h-principle and specialness for complex projective manifolds

Frédéric Campana·Jörg Winkelmann
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Abstract

We show that a complex projective manifold X which satisfies the Gromov's h-principle is `special', and raise some questions about the reverse implication, the extension to the quasi-K\" ahler case, and the relationships of these properties to the `Oka' property. The guiding principle is that the existence of many Stein manifolds which have degenerate Kobayashi pseudometric gives strong obstructions to the complex hyperbolicity of X satisfying the h-principle.

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Frédéric Campana, Jörg Winkelmann. 2012-11-04. On h-principle and specialness for complex projective manifolds. https://arxiv.org/abs/1210.7369

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