Cycles of algebraic manifolds and -cohomology
Cyclic Coverings: Deformation and Torelli Theorem.
Cyclic coverings of Fano threefolds
We describe a series of Calabi-Yau manifolds which are cyclic coverings of a Fano 3-fold branched along a smooth divisor. For all the examples we compute the Euler characteristic and the Hodge numbers. All examples have small Picard number .
Cyclic Extensions of Banach Algebras.
Cyclic quotients of 2-dimensional quasi-homogeneous hypersurface singularities.
Cylindrical real hyper surfaces in
Si stabiliscono due condizioni sufficienti per un germe di ipersuperficie reale di classe in affinchè esistano coordinate olomorfe rispetto alle quali l'ipersuperficie risulti essere il luogo di zeri di una funzione di variabili e sia minimale rispetto a questa proprietà. In altre parole si vuole che l'ipersuperficie, a meno di una trasformazione bi-olomorfa, sia l’unione di sottovarietà lineari complesse, parallele di dimensione .
d' d'', d''-cohomologies et intégration sur les cycles analytiques.
et -cohomologies d’une variété compacte privée d’un point. Application à l’intégration sur les cycles
Darstellbarkeitskriterien für analytische Funktoren
Das formale Prinzip für reduzierte komplexe Räume mit einer schwachen Positivitätseigenschaft.
Das formale Prinzip und Modifikationen komplexer Räume.
Das Modularproblem für holomorphe Einbettungen mit konkaver Umgebungsstruktur.
Das zariskische Diskriminantenkriterium und die Fortsetzung von Derivationen.
De Rham Cohomology of an Analytic Space.
Decay of volumes under iteration of meromorphic mappings
Let be a meromorphic self-mapping of a compact Kähler manifold. We study the rate of decreasing of volumes under the iteration of . We use these volume estimates to construct the Green current of in a quite general setting.
Décomposition formelle d'un système microdifférentiel aux points génériques
Soit une variété analytique complexe et son fibre cotangent. Soit un module cohérent sur l’anneau des opérateurs microdifférentiels formels sur . Dans le cas ou le support (ou variété caractéristique) de est une hypersurface, B. Malgrange a démontre que se décompose en systèmes élémentaires au point générique et après tensorisation par l’anneau des opérateurs microdifférentiels d’ordre - fractionnaire avec approprie.Dans ce travail, on généralise le résultat cité : d’abord pour un...
Decomposition into special cubes and its applications to quasi-subanalytic geometry
The main purpose of this paper is to present a natural method of decomposition into special cubes and to demonstrate how it makes it possible to efficiently achieve many well-known fundamental results from quasianalytic geometry as, for instance, Gabrielov's complement theorem, o-minimality or quasianalytic cell decomposition.
Decomposition of Compact Complex Varieties and the Cancellation Problem.
Decomposition of CR-manifolds and splitting of CR-maps
We show the uniqueness of local and global decompositions of abstract CR-manifolds into direct products of irreducible factors, and a splitting property for their CR-diffeomorphisms into direct products with respect to these decompositions. The assumptions on the manifolds are finite non-degeneracy and finite-type on a dense subset. In the real-analytic case, these are the standard assumptions that appear in many other questions. In the smooth case, the assumptions cannot be weakened by replacing...
Decomposition of non-archimedean analytic tori