Modulprobleme in der algebraischen Geometrie I
Modulprobleme in der algebraischen Geometrie II
Neuere Ergebnisse in der komplexen Analysis.
Notes on Complex Structures on R2n-O.
Offenheit der Versalität in der analytischen Geoemtrie.
On Deformations of Compactifiable Complex Manifolds.
On deformations of holomorphic foliations
Given a non-singular holomorphic foliation on a compact manifold we analyze the relationship between the versal spaces and of deformations of as a holomorphic foliation and as a transversely holomorphic foliation respectively. With this purpose, we prove the existence of a versal unfolding of parametrized by an analytic space isomorphic to where is smooth and : is the forgetful map. The map is shown to be an epimorphism in two situations: (i) if , where is the sheaf of...
On Deformations of Holomorphic Maps. III.
On Deformations of Quintic Surfaces.
On deformations of transversely holomorphic foliations.
On isomorphisms of Bers fiber spaces.
On Surfaces of Class VII0.
On the automorphism group of strongly pseudoconvex domains in almost complex manifolds
In contrast with the integrable case there exist infinitely many non-integrable homogeneous almost complex manifolds which are strongly pseudoconvex at each boundary point. All such manifolds are equivalent to the Siegel half space endowed with some linear almost complex structure.We prove that there is no relatively compact strongly pseudoconvex representation of these manifolds. Finally we study the upper semi-continuity of the automorphism group of some hyperbolic strongly pseudoconvex almost...
On the Bers fiber spaces.
On the movement of the Poincaré metric with the pseudoconvex deformation of open Riemann surfaces.
On the Versal Deformation of a Complex Space with an Isolated Singularity.
On the Versal Resolutions of Deformations of Rational Double Points.
Projectivity of Kähler manifolds – Kodaira’s problem
Every compact Kähler surface is deformation equivalent to a projective surface. In particular, topologically Kähler surfaces and projective surfaces cannot be distinguished. Kodaira had asked whether this continues to hold in higher dimensions. We explain the construction of a series of counter-examples due to C. Voisin, which yields compact Kähler manifolds of dimension at least four whose rational homotopy type is not realized by any projective manifold.
Proprietà di trasversalità per il tensore di Nijenhuis di una varietà quasi complessa
Quasiconformality of pseudo-conformal transformations and deformations of hypersurfaces in C...