Domains of Existence for Plurisubharmonic Functions.
Domains which are locally uniformly linearly convex in the Kobayashi distance.
Domains with Finite Dimensional Bergman Space.
Domains with Pseudoconvex Neighborhood Systems.
Double covers and vector bundles.
Doubly commuting submodules of the Hardy module over polydiscs
In this note we establish a vector-valued version of Beurling’s theorem (the Lax-Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in .
Drawing bers embeddings of the Teichmüller space of once-punctured tori.
Du Bois invariants of isolated complete intersection singularities
We define Du Bois invariants for isolated singularities of complex spaces. We relate them to the Hodge numbers of the local and vanishing cohomology groups. Our main results express the Tjurina number of certain Gorenstein singularities in terms of Du Bois invariants and Hodge numbers of the link, and express the Hodge numbers of the Milnor fibre of certain three-dimensional complete intersections in similar terms. We also address the question of the semicontinuity of the Du Bois invariants under...
Dual of the space of holomorphic functions with continuous boundary values on a strictly pseudo-convex domain in Cn.
Dualität in der Funktionentheorie.
Dualität in der lokalen Kohomologie isolierter Singularitäten.
Dualité et comparaison pour les complexes de de Rham logarithmiques par rapport aux diviseurs libres
Soit une variété analytique complexe lisse et un diviseur libre. Les connexions logarithmiques intégrables par rapport à peuvent être étudiées comme des -modules localement libres munis d’une structure de module (à gauche) sur l’anneau des opérateurs différentiels logarithmiques . Dans cet article nous étudions deux résultats liés : la relation entre les duaux d’une connexion logarithmique intégrable sur les anneaux de base et , et un critère différentiel pour le théorème de comparaison...
Dualite pour les feuilletages transversalement holomorphes.
Dualité relative en géométrie analytique complexe.
Duality and distribution cohomology of manifolds
Duality and Intersection Theory in Complex Manifolds. I.
Duality and the DeRham Cohomology of Infinitesimal Neighborhoods.
Duality on complex spaces
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.
Dynamics in the moduli space of Abelian differentials.