Ein geometrisches Endlichkeitskriterium für Untergruppen von Aut (C, 0) und holomorphe 1-codimensionale Blätterungen.
For a bounded domain of , we introduce a notion of «-pseudoconvexity» of new type and prove that for a given -closed -form that is smooth up to the boundary on , and for , there exists a -form smooth up to the boundary on which is a solution of the equation
Holomorphic Poisson structures arise naturally in the realm of generalized geometry. A holomorphic Poisson structure induces a deformation of the complex structure in a generalized sense, whose cohomology is obtained by twisting the Dolbeault @-operator by the holomorphic Poisson bivector field. Therefore, the cohomology space naturally appears as the limit of a spectral sequence of a double complex. The first sheet of this spectral sequence is simply the Dolbeault cohomology with coefficients in...