5 papers
A d-bar-theoretical proof of Hartogs' extension theorem on (n-1)-complete spaces
Jean Ruppenthal
Let X be a connected normal complex space of dimension n>=2 which is (n-1)-complete, and let p: M -> X be a resolution of singularities. By use of Takegoshi's generalization of the…
The d-bar-equation on homogeneous varieties with an isolated singularity
Jean Ruppenthal
Let X be a regular irreducible variety in CP^{n-1}, Y the associated homogeneous variety in C^n, and N the restriction of the universal bundle of CP^{n-1} to X. In the present pape…
The Dolbeault complex with weights according to normal crossings
Jean Ruppenthal
In this paper, we define a Dolbeault complex with weights according to normal crossings, which is a useful tool for studying the d-bar-equation on singular complex spaces by resolu…
About the d-bar-equation at isolated singularities with regular exceptional set
Jean Ruppenthal
Let Y be a pure dimensional analytic variety in C^n with an isolated singularity at the origin such that the exceptional set X of a desingularization of Y is regular. The main obje…
Friedrichs' extension lemma with boundary values and applications in complex analysis
Jean Ruppenthal
Let be a first-order differential operator on a compact, smooth oriented Riemannian manifold with smooth boundary. Then, Friedrichs' extension lemma states that the minimal clo…