Sökning: "singularities"

Visar resultat 11 - 15 av 61 avhandlingar innehållade ordet singularities.

  1. 11. Ekedahl Invariants, Veronese Modules and Linear Recurrence Varieties

    Författare :Ivan Martino; Anders Björner; Volkmar Welker; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Ekedahl Invariants; Noether Problem; Bogomolov Multiplier; Cyclic quotient singularities; Veronese Modules; Pile simplicial complex; Semigroup Rings; Betti Numbers; Mathematics; matematik;

    Sammanfattning : The title of this thesis refers to the three parts of which it is composed.The first part concerns the Ekedahl Invariants, new geometric invariants for finite groups introduced in 2009 by Torsten Ekedahl. LÄS MER

  3. 12. Multipoint Okounkov bodies, strong topology of ω-plurisubharmonic functions and Kähler-Einstein metrics with prescribed singularities

    Författare :Antonio Trusiani; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Okounkov bodies; Seshadri constant; Kähler-Einstein metrics; Kähler Geometry; Canonical metrics; Fano manifolds; Pluripotential theory; Complex Monge-Ampère equations; Kähler packing;

    Sammanfattning : The most classical topic in Kähler Geometry is the study of Kähler-Einstein metrics as solution of complex Monge-Ampère equations. This thesis principally regards the investigation of a strong topology for ω-plurisubharmonic functions on a fixed compact Kähler manifold (X,ω), its connection with complex Monge-Ampère equations with prescribed singularities and the consequent study of singular Kähler-Einstein metrics. LÄS MER

  4. 13. Extension of separately analytic functions and applications to mathematical tomography : characterizing the range of the exponential Radon transform

    Författare :Ozan Öktem; Slawomir Kolodziej; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Sammanfattning : The principal problem that is dealt with in the thesis is to characterize the range of the exponential Radon transform for both constant attenuation and angle dependent attenuation (in the latter case we assume that the attenuation is a trigonometric polynomial). Such results are also of interest in applications such as ECT (Emission Computed Tomography). LÄS MER

  5. 14. Information geometries in black hole physics

    Författare :Narit Pidokrajt; Ingemar Bengtsson; Jorma Louko; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; black holes; thermodynamics; instability; hessian; entropy; ruppeiner geometry; weinhold geometry; information geometry; Theory of relativity; gravitation; Relativitetsteori; gravitation; teoretisk fysik; Theoretical Physics;

    Sammanfattning : 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. LÄS MER

  7. 15. High order trapezoidal rule-based quadratures for boundary integral methods on non-parametrized surfaces

    Författare :Federico Izzo; Olof Runborg; Robert Krasny; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This thesis is concerned with computational methods for solving boundary integral equations (BIE) on surfaces defined without explicit parametrization, called Implicit Boundary Integral Methods (IBIM). Using implicit methods for describing surfaces, such as the level-set method, can be advantageous for complex geometries and problems where the surface evolves over time. LÄS MER