Deformation kompakter komplexer Mannigfaltigkeiten.
Déformation localisée de surfaces de Riemann.
Let Y be a Riemann surface with compact boundary embedded into a hyperbolic Riemann surface of finite type X. It is proved that the space of deformations D of Y into X is an open subset of the Teichmüller space T(X) of X. Furthermore, D has compact closure if and only if Y is simply connected or isomorphic to a punctured disk, and D= T(X) if and only if the components of X Y are all disks or punctured disks.
Deformation of Complete Intersections with Singularities.
Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1
Let be a Fano manifold with different from the projective space such that any two surfaces in have proportional fundamental classes in . Let be a surjective holomorphic map from a projective variety . We show that all deformations of with and fixed, come from automorphisms of . The proof is obtained by studying the geometry of the integral varieties of the multi-valued foliation defined by the variety of minimal rational tangents of .
Deformation of holomorphic maps onto the blow-up of the projective plane
Deformation of polar methods
We study deformations of hypersurfaces with one-dimensional singular loci by two different methods. The first method is by using the Le numbers of a hypersurfaces singularity — this falls under the general heading of a “polar” method. The second method is by studying the number of certain special types of singularities which occur in generic deformations of the original hypersurface. We compare and contrast these two methods, and provide a large number of examples.
Deformation of Submanifolds of Strongly Negatively Curved Manifolds.
Deformation of Varieties Defined by Sections in Homogeneous Vector Bundles.
Deformation rigidity of the rational homogeneous space associated to a long simple root
Deformationen isolierter Kurvensingularitäten mit eingebetteten Komponenten.
Deformationen von isolierten Singularitäten kohärenter analytischer Garben.
Deformationen von Keimen eigentlicher, holomorpher Abbildungen.
Deformationen von Quotientensingularitäten (nach zyklischen Gruppen).
Déformations à nombre de Milnor constant : quelques résultats sur les polynômes de Bernstein
Deformations and moduli of Riemann Surfaces with nodes and signatures.
Déformations C*-équivariantes de germes de faisceaux cohérents
Déformations des feuilletages transversalement holomorphes à type différentiable fixé.
Let F be a transversely holomorphic foliation on a compact manifold. We show the existence of a versal space for those deformations of F which keep fixed its differentiable type if F is Hermitian or if F has complex codimension one and admits a transverse projectable connection. We also prove the existence of a versal space of deformations for the complex structures on a Lie group invariant by a cocompact subgroup.
Déformations des structures complexes sur les espaces homogènes de SL (2, ...).
Déformations équisingulières des germes de courbes gauches réduites
Déformations équivariantes d'espaces analytiques complexes compacts