Search for dissertations about: "Complex geometry"
Showing result 1 - 5 of 407 swedish dissertations containing the words Complex geometry.
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1. Geometry linking the art of building and the Universe: Geometric patterns on shells and grid shells
Abstract : Geometry links the art of building and the physics of space-time. Mathematical breakthroughs in geometry have led to new ways of designing our structures and our ability to visualise and describe the world, phenomena in nature and the universe. READ MORE
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2. Positive vector bundles in complex and convex geometry
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
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3. Waring-type problems for polynomials : Algebra meets Geometry
Abstract : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waring-type problems and their story go back to the mid-19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. READ MORE
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4. Topics in Computational Algebraic Geometry and Deformation Quantization
Abstract : This thesis consists of two parts, a first part on computations in algebraic geometry, and a second part on deformation quantization. More specifically, it is a collection of four papers. In the papers I, II and III, we present algorithms and an implementation for the computation of degrees of characteristic classes in algebraic geometry. READ MORE
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5. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics
Abstract : Recent decades has seen a strong trend in complex geometry to study canonical metrics and the way they relate to geometric analysis, algebraic geometry and probability theory. This thesis consists of four papers each contributing to this field. The first paper sets up a probabilistic framework for real Monge-Ampère equations on tori. READ MORE