4 papers
A remark on isolated complex hypersurface singularities
Fabrizio Catanese, Ciro Ciliberto, Concettina Galati
This is now an expository note about the following classical problem. Let be the germ of a hypersurface in with an ordinary singularity of multip…
On nodal deformations of singular surfaces in
Ciro Ciliberto, Concettina Galati
In this paper we study nodal deformations of singular surfaces . In particular we consider the case in which has an isolated singularity of multiplicity $…
Limits of nodal surfaces and applications
Ciro Ciliberto, Concettina Galati
Let be a flat family of projective complex 3-folds over a disc with smooth total space and smooth general fibre an…
The Caporaso-Harris-Ran degeneration principle: proof and applications
Francesco Bastianelli, Ciro Ciliberto, Thomas Dedieu +3
Severi varieties are the parameter spaces for curves with prescribed homology class and genus on a smooth surface. We describe their limits along degenerations of surfaces, with a…