Search for dissertations about: "three dimensional geometry"
Showing result 1 - 5 of 206 swedish dissertations containing the words three dimensional geometry.
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1. Aspects of vacuum moduli in string theory
Abstract : In this thesis we explore geometric aspects of the space of vacua in supersymmetric string compactifications. More specifically, we will look at heterotic strings compactified on Calabi-Yau manifolds and, separately, G2 structure manifolds. READ MORE
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2. Admissible transformations and the group classification of Schrödinger equations
Abstract : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. READ MORE
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3. Ga-actions on Complex Affine Threefolds
Abstract : This thesis consists of two papers and a summary. The papers both deal with affine algebraic complex varieties, and in particular such varieties in dimension three that have a non-trivial action of one of the one-dimensional algebraic groups Ga := (C, +) and Gm := (C*, ·). READ MORE
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4. Moduli spaces of zero-dimensional geometric objects
Abstract : The topic of this thesis is the study of moduli spaces of zero-dimensional geometricobjects. The thesis consists of three articles each focusing on a particular moduli space.The first article concerns the Hilbert scheme Hilb(X). This moduli space parametrizesclosed subschemes of a fixed ambient scheme X. READ MORE
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5. Information geometries in black hole physics
Abstract : In this thesis we aim to develop new perspectives on the statistical mechanics of black holes using an information geometric approach (Ruppeiner and Weinhold geometry). The Ruppeiner metric is defined as a Hessian matrix on a Gibbs surface, and provides a geometric description of thermodynamic systems in equilibrium. READ MORE