Sökning: "Projective dimension"

Visar resultat 1 - 5 av 13 avhandlingar innehållade orden Projective dimension.

  1. 1. Dimensions and projections

    Författare :Anders Nilsson; Peter Wingren; Fredrik Georgsson; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Fractals; Hausdorff dimension; box dimension; packing dimension; projections; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis concerns dimensions and projections of sets that could be described as fractals. The background is applied problems regarding analysis of human tissue. One way to characterize such complicated structures is to estimate the dimension. LÄS MER

  3. 2. Stratified algebras and classification of tilting modules

    Författare :Elin Persson Westin; Volodymyr Mazorchuk; Aslak Buan; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Representation theory; Generalized tilting module; Exceptional sequence; Quasi-hereditary algebra; Standardly stratified algebra; Essential order; Category O; S-subcategory; Projective dimension; Finitistic dimension; Mathematics; Matematik;

    Sammanfattning : This thesis contains three papers in representation theory of algebras. It mainly studies two types of algebras; quasi-hereditary algebras and standardly stratified algebras. LÄS MER

  4. 3. Computational algorithms for algebras

    Författare :Samuel Lundqvist; Clas Löfwall; Ralf Fröberg; H. Michael Möller; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Gröbner basis; zero-dimensional ideal; affine variety; projective variety; run-time complexity; Algebra and geometry; Algebra och geometri; Mathematics; matematik;

    Sammanfattning : This thesis consists of six papers. In Paper I, we give an algorithm for merging sorted lists of monomials and together with a projection technique, we obtain a new complexity bound for the Buchberger-Möller algorithm and the FGLM algorithm. LÄS MER

  5. 4. The space of Cohen-Macaulay curves

    Författare :Katharina Heinrich; Roy Skjelnes; Lars Halvard Halle; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis we discuss a moduli space of projective curves with a map to a given projective space. The functor CM parametrizes curves, that is, Cohen-Macaulay schemes of pure dimension 1, together with a finite map to the projective space that is an isomorphism onto its image away from a finite set of closed points. LÄS MER

  7. 5. Classifying Lattice Polytopes

    Författare :Anders Lundman; Sandra Di Rocco; Diane Maclagan; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis consists of two papers in toric geometry. In Paper A we provide a complete classification up to isomorphism of all smooth convex lattice 3- polytopes with at most 16 lattice points. There exist in total 103 different polytopes meeting these criteria. LÄS MER