Families of Curves with Nodes on K-3 Surfaces.
Families of differential forms on complex spaces
On every reduced complex space we construct a family of complexes of soft sheaves ; each of them is a resolution of the constant sheaf and induces the ordinary De Rham complex of differential forms on a dense open analytic subset of . The construction is functorial (in a suitable sense). Moreover each of the above complexes can fully describe the mixed Hodge structure of Deligne on a compact algebraic variety.
Families of Mumford curves
Families of polynomials with total Milnor number constant.
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 varieties with prescribed singularities
Familles de courbes sur les germes d'espaces analytiques
Fano hypersurfaces in weighted projective 4-spaces.
Fastautomorphe Funktionen auf komplexen Räumen.
Fasthomogene Kählermannigfaltigkeiten mit verschwindender erster Bettizahl.
Fast-positive Geradenbündel auf kompakten komplexen Mannigfaltigkeiten.
Fatou and Korányi-Vági type theorems on the minimal ball.
In this paper we develop the Hp(p ≥ 1) theory on the minimal ball. After identifying the admissible approach regions, we establish theorems of Fatou and Koráanyi-Vági type on this ball.
Fatou maps in dynamics.
Feuilles compactes des feuilletages algébriques.
Feuilletages de : de l’holonomie hyperbolique pour les minimaux exceptionnels
Feuilletages de Painlevé
Feuilletages holomorphes de codimension un dont la classe canonique est triviale
We give a description of Kähler manifolds equipped with an integrable subbundle of of rank () under the assumption that the line bundle is numerically trivial. This is a sort of foliated version of Bogomolov’s theorem concerning Kähler manifolds with trivial canonical class.
Feuilletages holomorphes de codimension un sur les espaces homogènes complexes
Feuilletages holomorphes singuliers sur les surfaces contenant une coquille sphérique globale
En résumé, on retiendra que seules les surfaces d’Inoue-Hirzebruch et les surfaces génériques admettent un feuilletage holomorphe. Sur les surfaces d’Inoue-Hirzebruch il existe exactement deux feuilletages et sur les surfaces génériques au plus un. Le lieu singulier de la réunion des courbes rationnelles coïncide avec le lieu singulier du feuilletage. Les courbes rationnelles sont des feuilles en dehors des points singuliers du feuilletage.
Feuilletages holomorphes singuliers sur les surfaces contenant une coquille sphérique globale