Sökning: "polytope"

Visar resultat 11 - 15 av 20 avhandlingar innehållade ordet polytope.

  1. 11. Period integrals and other direct images of D-modules

    Författare :Ketil Tveiten; Rikard Bøgvad; Uli Walther; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; D-modules; Rings of differential operators; Period integrals; Mathematics; matematik;

    Sammanfattning : This thesis consists of three papers, each touching on a different aspect of the theory of rings of differential operators and D-modules. In particular, an aim is to provide and make explicit good examples of D-module directimages, which are all but absent in the existing literature. LÄS MER

  3. 12. Tropical aspects of real polynomials and hypergeometric functions

    Författare :Jens Forsgård; Boris Shapiro; Grigory Mikhalkin; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Amoeba; Tropical Geometry; Hypergeometric function; Geometry of zeros; Discriminant; Mathematics; matematik;

    Sammanfattning : The present thesis has three main topics: geometry of coamoebas, hypergeometric functions, and geometry of zeros.First, we study the coamoeba of a Laurent polynomial f in n complex variables. We define a simpler object, which we call the lopsided coamoeba, and associate to the lopsided coamoeba an order map. LÄS MER

  4. 13. Multipoint Okounkov bodies

    Författare :Antonio Trusiani; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Seshadri constant; Okounkov body; Projective manifold; symplectic packings; Kähler geometry; ample line bundle;

    Sammanfattning : During the nineties, the field medallist Okounkov found a way to associate to an ample line bundle L over an n−complex dimensional projective manifold X a convex body in Rn, now called Okounkov body ∆(L). The construction depends on the choice of a valuation centered at one point p∈X and it works even if L is a big line bundle. LÄS MER

  5. 14. Topics in Combinatorial Algebraic Geometry

    Författare :Anders Lundman; Sandra Di Rocco; Giorgio Ottaviani; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : This thesis consists of six papers in algebraic geometry –all of which have close connections to combinatorics. In Paper A we consider complete smooth toric embeddings X ↪ P^N such that for a fixed positive integer k the t-th osculating space at every point has maximal dimension if and only if t ≤ k. LÄS MER

  7. 15. Mathematical Models and Algorithms for Wireless Network Design and Optimization

    Författare :Yuan Li; Institutionen för elektro- och informationsteknik; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; max-min flow; directional antenna; optimization; integer programming; cellular backhaul network design; delay minimization; SINR; compatible set;

    Sammanfattning : Optimization techniques always play an important role in designing high-performance wireless systems. This presented thesis studies a selected set of optimization problems for different kinds of wireless networks, making use of mathematical programming techniques to find optimal solutions and of efficient heuristics to find near-optimal solutions. LÄS MER