Deformation of Varieties Defined by Sections in Homogeneous Vector Bundles.
Der Kodairasche Verschwindungssatz auf streng pseudokonvexen Räumen. I.
Der Kodairasche Verschwindungssatz auf streng pseudokonvexen Räumen. II.
Effective freeness and point separation for adjoint bundles.
Ein Verschwindungssatz für gewisse Kohomologiegruppen in Umgebung kompakter komplexer Unterräume mit konvex-konkavem Normalenbündel.
Endlichkeits- und Verschwindungssätze für (schwach-) konstruierbare Garbenkomplexe auf komplexen Räumen.
(Erratum). A Differential Geometrie Criterion for Moishezon Spaces
Estimations pour l’opérateur d’un fibré vectoriel holomorphe semi-positif au-dessus d’une variété kählérienne complète
Fast-positive Geradenbündel auf kompakten komplexen Mannigfaltigkeiten.
Geometry and cohomology of certain domains in the complex projective space.
Groupes de cohomologie d'un fibré holomorphe à base et à fibre de Stein.
Holomorphic Morse Inequalities on Manifolds with Boundary
Let be a compact complex manifold with boundary and let be a high power of a hermitian holomorphic line bundle over When has no boundary, Demailly’s holomorphic Morse inequalities give asymptotic bounds on the dimensions of the Dolbeault cohomology groups with values in in terms of the curvature of We extend Demailly’s inequalities to the case when has a boundary by adding a boundary term expressed as a certain average of the curvature of the line bundle and the Levi curvature of the...
Improvement of Grauert-Riemenschneider's theorem for a normal surface
Let be a desingularization of a normal surface . The group Pic is provided with an order relation , defined by . for any effective exceptional divisor . Comparing to the usual order relation we define the ceiling of which is an exceptional divisor. This notion allows us to improve the usual vanishing theorem and we deduce from it a numerical criterion for rationality and a genus formula for a curve on a normal surface; the difficulty lies in the case of a Weil divisor which is not a Cartier...
k-holomorphe Vektorraumbündel auf offenen Polyzylindern.
Komplexe Unterräume und holomorphe Vektorraumbündel vom Rang zwei.
Local Moduli for Complex Analytic Vector Bundles.
Logarithmic De Rham complexes and vanishing theorems.
Lösungsoperatoren für den Cauchy-Riemann-Komplex mit Ck- Abschätzungen.
Moisezon Spaces and Almost Positive Coherent Sheaves.
Nadel's Subschemes of Fano Manifolds X with a Picard Group Pic(X) Isomorphic to Z
∗The author supported by Contract NSFR MM 402/1994.In this paper we find a global sufficient condition for suitable subschemes of Fano manifolds to be Nadel’s subschemes. We apply this condition to one-dimensional subschemes of a projective space.