Darstellbarkeitskriterien für analytische Funktoren
Das formale Prinzip und Modifikationen komplexer Räume.
Das Modularproblem für holomorphe Einbettungen mit konkaver Umgebungsstruktur.
Decomposition of CR-manifolds and splitting of CR-maps
We show the uniqueness of local and global decompositions of abstract CR-manifolds into direct products of irreducible factors, and a splitting property for their CR-diffeomorphisms into direct products with respect to these decompositions. The assumptions on the manifolds are finite non-degeneracy and finite-type on a dense subset. In the real-analytic case, these are the standard assumptions that appear in many other questions. In the smooth case, the assumptions cannot be weakened by replacing...
Deformaciones de gérmenes analíticos equivariantes.
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 holomorphic maps onto the blow-up of the projective plane
Deformation of Submanifolds of Strongly Negatively Curved Manifolds.
Deformation of Varieties Defined by Sections in Homogeneous Vector Bundles.
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 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 équivariantes d'espaces analytiques complexes compacts
Deformations of a complex mainfold near a strongly pseudo-convex real hypersurface and a realization of Kuranishi family of strongly pseudo-convex CR structures.
Deformations of a strongly pseudo-convex domain of complex dimension ≥ 4