Families of algebraic curves with nodes
Families of Curves on Surfaces.
Families of hypersurfaces of large degree
Grauert and Manin showed that a non-isotrivial family of compact complex hyperbolic curves has finitely many sections. We consider a generic moving enough family of high enough degree hypersurfaces in a complex projective space. We show the existence of a strict closed subset of its total space that contains the image of all its sections.
Families of quintic surfaces and curves
Fano manifolds and quadric bundles.
Finitude de l'application bicanonique des surfaces de type général