Jean-Paul Mohsen
Published 2018-05-26Version 1
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 K\"ahler manifolds with negative holomorphic bisectional curvature. We also construct hyperbolic hypersurfaces and we obtain bounds for their Kobayashi hyperbolic metric.
New constructions of unexpected hypersurfaces in $\mathbb{P}^n$
Derivator Six-Functor-Formalisms - Construction II
A construction of Frobenius manifolds from stability conditions
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