Factorization of a Birational Morphism Between 4-Folds*.
Faisceaux de Darboux et questions connexes dans l'espace affine courbe
Famiglie di curve nodali su superfici proiettive
Famiglie di curve sulle superfici algebriche
Families of algebraic curves with nodes
Families of Arcs on rational surface singularities.
Families of Curves on Surfaces.
Families of Curves with Nodes on K-3 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
Families of smooth curves on surface singularities and wedges
Following the study of the arc structure of singularities, initiated by J. Nash, we give criteria for the existence of smooth curves on a surface singularity (S,O) and of smooth branches of its generic hypersurface section. The main applications are the following: the existence of a natural partition of the set of smooth curves on (S,O) into families, a description of each of them by means of chains of infinitely near points and their associated maximal cycle and the existence of smooth curves on...
Families of supersingular abelian surfaces
Fano bundles of rank 2 on surfaces
Fano fourfolds of index greater than one.
Fano hypersurfaces in weighted projective 4-spaces.
Fano manifolds and quadric bundles.
Fano manifolds and vector bundles.
Fano manifolds of degree ten and EPW sextics
O’Grady showed that certain special sextics in called EPW sextics admit smooth double covers with a holomorphic symplectic structure. We propose another perspective on these symplectic manifolds, by showing that they can be constructed from the Hilbert schemes of conics on Fano fourfolds of degree ten. As applications, we construct families of Lagrangian surfaces in these symplectic fourfolds, and related integrable systems whose fibers are intermediate Jacobians.
Fano Schemes of Linear Spaces on Hypersurfaces.
Fermatquadrupel.