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
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.
Ein Verschwindungssatz für gewisse Kohomologiegruppen in Umgebung kompakter komplexer Unterräume mit konvex-konkavem Normalenbündel.
Eine Bemerkung über relative Ext-Garben.
Einige Aussagen über die Reduktion kohärenter analytischer Modulgarben.
Endliche Erzeugbarkeit im Ring aller holomorphen Funktionen.
Endlichkeit der differenzierbaren de Rham-Kohomologie.
Espaces analytiques relatifs et théorème de finitude.
Espaces de Stein et faisceaux localement libres.
Existence and approximation Theorems on a Weakly 1-Complete Analytic Space.
Extending Families of Pseudoconcave Complex Spaces.
Extension of CR functions to «wedge type» domains
Let be a complex manifold, a generic submanifold of , the real underlying manifold to . Let be an open subset of with analytic, a complexification of . We first recall the notion of -tuboid of and of and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for to the extendability of functions on to -tuboids of . Next, if has complex dimension 2, we give results on extension...