arXiv subjects
Publications and source records attributed to Jean-Paul Mohsen.
Using the Donaldson-Auroux theory, we construct complete intersections in complex projective manifolds, which are negatively curved in various ways. In particular, we prove the existence of compact simply connected Kahler manifolds with negative holomorphic bisectional curvature. We also construct hyperbolic hypersurfaces and we obtain bounds for their Kobayashi hyperbolic metric.
In this note, we reformulate Donaldson's construction as a compactness result. Approximately holomorphic sections accumulate to "limit holomorphic sections" and uniform transversality properties of the approximately holomorphic sections correspond to transversality properties of their limits.
Le théorème principal de cet article est un résultat de transversalité quantitative relatif à une sous-variété. The main theorem of this paper is a result of estimated transversality with respect to a given submanifold.