Sökning: "coamoeba"

Hittade 4 avhandlingar innehållade ordet coamoeba.

  1. 1. On the topology of the coamoeba

    Författare :Petter Johansson; Håkan Samuelsson; Eva Maria Feichtner; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Coamoeba; Ronkin function; matematik; Mathematics;

    Sammanfattning : In this thesis we study the topology and geometry of the coamoeba of an algebraic variety V. The strategy that we use is to relate the coamoebas corresponding to the initial varieties of V to the coamoeba of V. We also define an analogue of the Ronkin function for the coamoeba and give an explicit formula for it.. LÄS MER

  3. 2. Amoebas, Discriminants, and Hypergeometric Functions

    Författare :Lisa Nilsson; Mikael Passare; Maurice Rojas; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; amoeba; coamoeba; discriminant; hypergeometric functions; Mellin transform; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; matematik;

    Sammanfattning : This thesis consists of six chapters. In Chapter 1 we give some historical background to the topic of the thesis together with the fundamental definitions and results that the thesis is based on. In Chapter 2 we study Mellin transforms of rational functions and investigate their analytic continuations. LÄS MER

  4. 3. On Hypersurface Coamoebas and Integral Representations of A-Hypergeometric Functions

    Författare :Jens Forsgård; Boris Shapiro; Elizabeth Wulcan; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Sammanfattning : This thesis is concerned with coamoebas and their connection to integral representations A-hypergeometric functions. In the first part, we introduce the lopsidedness criterion for coamoebas, and define the lopsided coamoeba. We show that the lopsided coamoeba comes naturally equipped with an order map. LÄS MER

  5. 4. 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