A Duality Theorem for Complex Manifolds.
A finiteness theorem for holomorphic Banach bundles
Let be a holomorphic Banach bundle over a compact complex manifold, which can be defined by a cocycle of holomorphic transition functions with values of the form where is compact. Assume that the characteristic fiber of has the compact approximation property. Let be the complex dimension of and . Then: If is a holomorphic vector bundle (of finite rank) with , then . In particular, if , then .
Canonical representatives in moderate cohomology.
Cohérence de certaines images directes à supports propres dans le cas d’un morphisme fortement -convexe
Complexe dualisant et théorèmes de dualité en géométrie analytique complexe
Développements asymptotiques et microfonctions dans les classes de Gevrey
Dual of the space of holomorphic functions with continuous boundary values on a strictly pseudo-convex domain in Cn.
Dualität in der lokalen Kohomologie isolierter Singularitäten.
Dualite pour les feuilletages transversalement holomorphes.
Duality and Intersection Theory in Complex Manifolds. I.
Duality theorems for Hardy and Bergman spaces on convex domains of finite type in
We study Hardy, Bergman, Bloch, and BMO spaces on convex domains of finite type in -dimensional complex space. Duals of these spaces are computed. The essential features of complex domains of finite type, that make these theorems possible, are isolated.
Finiteness and separation theorems for Dolbeault cohomologies with support conditions
Geometric and categorical nonabelian duality in complex geometry
The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.
Grassmann duality for -modules
Harmonie Forms Dual to Geodesic Cycles in Quotients of SU (p, 1).
Induced -modules and differential complexes
Inoue-Hirzebruch Surfaces and a Duality of Hyperbolic Unimodular Singularities. I.
Local Cohomolgy Along Exceptional Sets.
Local homology and cohomology on schemes
...-Modules on Supermanifolds.