Construction of negatively curved complete intersections
Algebraic Geometry
2026-03-13 v4 Differential Geometry
Abstract
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.
Cite
@article{arxiv.1805.10411,
title = {Construction of negatively curved complete intersections},
author = {Jean-Paul Mohsen},
journal= {arXiv preprint arXiv:1805.10411},
year = {2026}
}
Comments
v2: detailed proof of Theorem 9 v3: slightly modified proof of Theorem 3