Sökning: "dbar-equation"
Hittade 3 avhandlingar innehållade ordet dbar-equation.
1. Positive vector bundles in complex and convex geometry
Sammanfattning : This thesis concerns various aspects of the geometry of holomorphic vector bundles and their analytical theory which all, vaguely speaking, are related to the notion of positive curvature in general, and L^2-methods for the dbar-equation in particular. The thesis contains four papers. LÄS MER
2. Differential forms and currents on non-reduced complex spaces with applications to divergent integrals and the dbar-equation
Sammanfattning : This thesis consists of three papers in which we study differential forms and currents on complex spaces. An important tool for us is the theory of residue currents. In Paper I we study divergent integrals over singular differential forms on a complex manifold. The differential form should have a pole along a complex hypersurface. LÄS MER
3. Convexity, Currents, and Lelong numbers
Sammanfattning : This thesis treats different aspects of convexity, both real and complex. On the real side, we study convexity in relation with certain currents. On the complex side, we study the singularities of plurisubharmonic functions. LÄS MER