Search for dissertations about: "derived algebraic geometry"

Showing result 1 - 5 of 7 swedish dissertations containing the words derived algebraic geometry.

  2. 1. 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

  4. 2. Universal algebraic structures on polyvector fields

    Author : Johan Alm; Sergei Merkulov; Anton Alekseev; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. READ MORE

  5. 3. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials

    Author : Addisalem Abathun; Rikard Bögvad; Maurice Duits; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hypergeometric polynomials; Potential theory; Mathematics; matematik;

    Abstract : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. READ MORE

  6. 4. Blow-ups and normal bundles in derived algebraic geometry and beyond

    Author : Jeroen Hekking; David Rydh; Marco Robalo; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; derived algebraic geometry; blow-ups; normal bundles; Weil restrictions; Matematik; Mathematics;

    Abstract : The main part of this thesis, Part II, consists of four papers. A summary and background is provided in Part I.Paper A introduces blow-ups of derived schemes in arbitrary centers, which is a generalization of the quasi-smooth case from [KR19]. READ MORE

  7. 5. Topics in projective algebraic optimization

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

    Abstract : 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. READ MORE