Search for dissertations about: "dbar-equation"

Found 3 swedish dissertations containing the word dbar-equation.

  2. 1. Positive vector bundles in complex and convex geometry

    Author : Hossein Raufi; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Nakano positivity; vanishing theorems; Prekopa theorem; Griffiths positivity; convex geometry; Ohsawa-Takegoshi extension theorem; dbar-equation; L^2-estimates; singular hermitian metrics; holomorphic vector bundles; holomorphic vector bundles; dbar-equation; L^2-estimates; singular hermitian metrics; Griffiths positivity; Nakano positivity; vanishing theorems; Ohsawa-Takegoshi extension theorem; convex geometry; Prekopa theorem;

    Abstract : 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. READ MORE

  4. 2. Differential forms and currents on non-reduced complex spaces with applications to divergent integrals and the dbar-equation

    Author : Mattias Lennartsson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : 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. READ MORE

  5. 3. Convexity, Currents, and Lelong numbers

    Author : Aron Lagerberg; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; complex analysis; convex analysis; currents; Lelong numbers; tropical geometry; L^2-estaimtes; Legendre transform; intersection theory; real Monge-Ampere operators; plurisubharmonic functions; integrability index; L^2-estaimtes;

    Abstract : 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. READ MORE