Dimensionstheorie in globalen Moduln.
Direct Images of Sheaves of Differentials and the Atiyah Class.
Divisors in global analytic sets
We prove that any divisor of a global analytic set has a generic equation, that is, there is an analytic function vanishing on with multiplicity one along each irreducible component of . We also prove that there are functions with arbitrary multiplicities along . The main result states that if is pure dimensional, is locally principal, is not connected and represents the zero class in then the divisor is globally principal.
D-modules et geometrie des tissus de C2.
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.
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 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.
E. E. Levi convexity and the Hans Lewy problem. Part I : reduction to vanishing theorems
E. E. Levi convexity and the Hans Lewy problem. Part II : vanishing theorems
Earthquakes are analytic.
Edge-of-the-wedge theorem for elliptic systems
Effective local finite generation of multiplier ideal sheaves
Let be a psh function on a bounded pseudoconvex open set , and let be the associated multiplier ideal sheaves, . Motivated by global geometric issues, we establish an effective version of the coherence property of as . Namely, given any , we estimate the asymptotic growth rate in of the number of generators of over , as well as the growth of the coefficients of sections in with respect to finitely many generators globally defined on . Our approach relies on proving asymptotic integral...
Ein Beweis des Grauertschen Bildgarbensatzes nach Ideen von B. Malgrange.
Ein einfacher Beweis des Kohärenzsatzes von Grauert.