Sökning: "complex projective"

Visar resultat 1 - 5 av 26 avhandlingar innehållade orden complex projective.

  1. 1. On Integral Representation with Weights on Complex Manifolds

    Författare :Elin Götmark; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; integral representation; Bochner-Martinelli formula; Grassmannians; complex projective; space; residue currents; effective null-stellensatz; space;

    Sammanfattning : .... LÄS MER

  3. 2. Topics in projective algebraic optimization

    Författare :Lukas Gustafsson; Sandra Di Rocco; Kathlén Kohn; Cordian Riener; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis explores optimization challenges within algebraic statistics, employing both topological and geometrical methodologies to derive new insights. The main focus is the optimization degree of nearest point and Gaussian maximum likelihood estimation problems with algebraic constraints. LÄS MER

  4. 3. Invariancy Methods for Points, Curves and Surfaces in Computational Vision

    Författare :Karl Åström; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; curved surface; space curve; planar curve; laser guided vehicles; AGV; autonomous guided vehicles; recognition; reconstruction; image sequence; multiple view geometry; affine; invariant; projective; Mathematics; Matematik;

    Sammanfattning : Many issues in computational vision can be understood from the interplay between camera geometry and the structure of images and objects. Typically, the image structure is available and the goal is to reconstruct object structure and camera geometry. This is often difficult due to the complex interdependence between these three entities. LÄS MER

  5. 4. Equidistribution towards the Green current in complex dynamics

    Författare :Rodrigo Parra; Michael Benedicks; Romain Dujardin; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

    Sammanfattning : Given a holomorphic self-map of complex projective space of de-gree larger than one, we prove that there exists a finite collection oftotally invariant algebraic sets with the following property: given anypositive closed (1,1)-current of mass 1 with no mass on any element of this family, the sequence of normalized pull-backs of the current converges to the Green current. Under suitable geometric conditions on the collection of totally invariant algebraic sets, we prove a sharper equidistribution result. LÄS MER

  7. 5. Positive vector bundles in complex and convex geometry

    Författare :Hossein Raufi; Göteborgs universitet; []
    Nyckelord :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;

    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