Sökning: "affine geometry"

Visar resultat 1 - 5 av 25 avhandlingar innehållade orden affine geometry.

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

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

    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. 2. Ga-actions on Complex Affine Threefolds

    Författare :Isac Hedén; Heinz Fieseler; Lucy Moser-Jauslin; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex affine varieties; algebraic group actions of C^ and C^*; locally nilpotent derivations; graded algebras; principal bundles; Russell s hypersurface;

    Sammanfattning : 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*, ·). LÄS MER

  4. 3. Geometry and Critical Configurations of Multiple Views

    Författare :Fredrik Kahl; Matematik LTH; []
    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. 4. Permanental Point Processes on Real Tori

    Författare :Jakob Hultgren; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Point Processes; Monge-Ampère equations; Affine Manifolds; Point Processes;

    Sammanfattning : The main motivation for this thesis is to study real Monge-Ampère equations. These are fully nonlinear differential equations that arise in differential geometry. They lie at the heart of optimal transport and, as such, are related to probability theory, statistics, geometrical inequalities, fluid dynamics and diffusion equations. LÄS MER

  7. 5. Hilbert schemes and Rees algebras

    Författare :Gustav Sædén Ståhl; David Rydh; Karen Smith; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : The topic of this thesis is algebraic geometry, which is the mathematical subject that connects polynomial equations with geometric objects. Modern algebraic geometry has extended this framework by replacing polynomials with elements from a general commutative ring, and studies the geometry of abstract algebra. LÄS MER