Search for dissertations about: "algebraic geometry"

Showing result 1 - 5 of 76 swedish dissertations containing the words algebraic geometry.

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

    Author : Christine Jost; Sandra Di Rocco; Boris Shapiro; Gregory G. Smith; Stockholms universitet; []
    Keywords : 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; Mathematics; matematik;

    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

  4. 2. Waring-type problems for polynomials : Algebra meets Geometry

    Author : Alessandro Oneto; Boris Shapiro; Brian Harbourne; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; polynomials; Waring problems; Hilbert series; fat points; power ideals; secant varieties; Mathematics; matematik;

    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

  5. 3. Destackification and Motivic Classes of Stacks

    Author : Daniel Bergh; David Rydh; Dan Edidin; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Algebraic stacks; Destackification; Grothendieck ring; Motive; Torus; Classifying stack; Mathematics; matematik;

    Abstract : This thesis consists of three articles treating topics in the theory of algebraic stacks. The first two papers deal with motivic invariants. In the first, we show that the class of the classifying stack BPGLn is the inverse of the class of PGLn in the Grothendieck ring of stacks for n ≤ 3. READ MORE

  6. 4. 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

  7. 5. Geometry and Critical Configurations of Multiple Views

    Author : Fredrik Kahl; Matematik LTH; []
    Keywords : 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;

    Abstract : 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. READ MORE