Sökning: "geometry of polynomials."

Visar resultat 1 - 5 av 23 avhandlingar innehållade orden geometry of polynomials..

  1. 1. Asymptotic distribution of zeros of a certain class of hypergeometric polynomials

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

    Sammanfattning : The thesis consists of two papers, both treating hypergeometric polynomials, and a short introduction. The main results are as follows. LÄS MER

  2. 2. Waring-type problems for polynomials : Algebra meets Geometry

    Författare :Alessandro Oneto; Boris Shapiro; Brian Harbourne; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; polynomials; Waring problems; Hilbert series; fat points; power ideals; secant varieties; matematik; Mathematics;

    Sammanfattning : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waring-type problems and their story go back to the mid-19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. LÄS MER

  3. 3. Dualities, affine vertex operator algebras, and geometry of complex polynomials

    Författare :Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

    Sammanfattning : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. LÄS MER

  4. 4. Power ideals, Fröberg conjecture and Waring problems

    Författare :Alessandro Oneto; Boris Shapiro; Ralf Fröberg; Kristian Ranestad; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; power ideals; Hilbert function; fat points; Waring problem; matematik; Mathematics;

    Sammanfattning : This thesis is divided into two chapters. First, we want to study particularclasses of power ideals, with particular attention to their relation with the Fröberg conjecture on the Hilbert series of generic ideals. LÄS MER

  5. 5. Tropical aspects of real polynomials and hypergeometric functions

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

    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