Sökning: "geometry"

Visar resultat 1 - 5 av 1469 avhandlingar innehållade ordet geometry.

  1. 1. Waring-type problems for polynomials Algebra meets Geometry

    Detta är en avhandling från Stockholm : Department of Mathematics, Stockholm University

    Författare :Alessandro Oneto; Stockholms universitet.; [2016]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; polynomials; Waring problems; Hilbert series; fat points; power ideals; secant varieties; matematik; Mathematics;

    Sammanfattning : 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. LÄS MER

  2. 2. Topics in Computational Algebraic Geometry and Deformation Quantization

    Detta är en avhandling från Stockholm : Department of Mathematics, Stockholm University

    Författare :Christine Jost; Stockholms universitet.; [2013]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Segre classes; Chern-Schwartz-MacPherson classes; topological Euler characteristic; computational algebraic geometry; numerical algebraic geometry; numerical homotopy methods; deformation quantization; polyvector fields; Fedosov quantization; Grothendieck-Teichmüller group; matematik; Mathematics;

    Sammanfattning : 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. LÄS MER

  3. 3. Positive vector bundles in complex and convex geometry

    Detta är en avhandling från Göteborg

    Författare :Hossein Raufi; Göteborgs universitet.; Gothenburg University.; [2014]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; 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;

    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

  4. 4. Geometry and Critical Configurations of Multiple Views

    Detta är en avhandling från Fredrik Kahl, Centre for Mathematical Sciences, P.O. Box 118, SE-221 00 Lund, Sweden

    Författare :Fredrik Kahl; Lunds universitet.; Lund University.; [2001]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; algebra; algebraic geometry; field theory; Number Theory; Matematik; Mathematics; reconstruction; image sequence; absolute conic; critical motions; critical surfaces; perspective projection; affine geometry; Euclidean geometry; multiple view geometry; projective geometry; group theory; Talteori; fältteori; algebraisk geometri; gruppteori; Mathematical logic; set theory; combinatories; Matematisk logik; mängdlära; kombinatorik;

    Sammanfattning : This thesis is concerned with one of the core problems in computer vision, namely to reconstruct a real world scene from several images of it. The interplay between the geometry of the scene, the cameras and the images is analyzed. LÄS MER

  5. 5. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics

    Detta är en avhandling från Göteborg : Chalmers tekniska högskola

    Författare :Jakob Hultgren; Göteborgs universitet.; Gothenburg University.; [2018]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistical Mechanics; Point Processes; Hessian manifolds; Kähler geometry; Optimal Transport; Canonical metrics; Complex Monge-Ampère equations; Real Monge-Ampère equations; Kähler-Einstein metrics;

    Sammanfattning : 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. LÄS MER