Offenheit der Versalität in der analytischen Geoemtrie.
On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates
Second order elliptic systems with boundary conditions of Dirichlet, Neumann’s or Newton’s type are solved by means of linear finite elements on regular uniform triangulations. Error estimates of the optimal order are proved for the averaged gradient on any fixed interior subdomain, provided the problem under consideration is regular in a certain sense.
On Algebraicity of Global Real Analytic Sets and Functions
On Bloch's Conjecture.
On Calabi's conjecture for complex surfaces with positive first Chern class.
On Compact Analytic Threefolds with Non-Trivial Albanese Tori.
On compact Kähler surfaces
Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kähler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.
On Compactifiable Complex Analytic Surfaces.
On compactifiable strongly pseudoconvex threefolds.
On complex affine surfaces with ...-action.
On complex manifolds which can be compactified by adding finitely many points.
On Complexifications of Differentiable 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 Kähler Spaces. I.
On Deformations of Threedimensional Rational Manifolds.
On deformations of transversely holomorphic foliations.
On Grauert's conjecture and the characterization of Moishezon spaces.
On holomorphic maps into compact non-Kähler manifolds
We study the extension problem of holomorphic maps of a Hartogs domain with values in a complex manifold . For compact Kähler manifolds as well as various non-Kähler manifolds, the maximal domain of extension for over is contained in a subdomain of . For such manifolds, we define, in this paper, an invariant Hex using the Hausdorff dimensions of the singular sets of ’s and study its properties to deduce informations on the complex structure of .
On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering.
On K3 surfaces with large Picard number.