Sökning: "Riemann sphere"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden Riemann sphere.

  1. 1. On the Moduli Space of Cyclic Trigonal Riemann Surfaces of Genus 4

    Författare :Daniel Ying; Milagros Izquierdo; David Singerman; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Riemann surface; Riemann sphere; Trigonal morphism; MATHEMATICS; MATEMATIK;

    Sammanfattning : A closed Riemann surface which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering is called a trigonal morphism. Accola showed that the trigonal morphism is unique for Riemann surfaces of genus g ≥ 5. LÄS MER

  3. 2. The Collet-Eckmann condition for rational functions on the Riemann sphere

    Författare :Magnus Aspenberg; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex dynamics; Riemann sphere; expansion of derivatives;

    Sammanfattning : .... LÄS MER

  4. 3. Cyclic Trigonal Riemann Surfaces of Genus 4

    Författare :Daniel Ying; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Riemann surface; trigonal morphism; Accola; genus 4; MATHEMATICS; MATEMATIK;

    Sammanfattning : A closed Riemann surface which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering is called a trigonal morphism. Accola showed that the trigonal morphism is unique for Riemann surfaces of genus g ≥ 5. This thesis will characterize the Riemann surfaces of genus 4 wiht non-unique trigonal morphism. LÄS MER

  5. 4. Arithmetic of three-point covers

    Författare :Björn Selander; Siegfried Bosch; Uppsala universitet; []
    Nyckelord :Algebra and geometry; Algebra och geometri;

    Sammanfattning : Any cover of the Riemann sphere with rational branch points is known to be defined over the algebraic numbers. Hence the Galois group of the rationals acts on the category of such branched covers. Particulars about this action are still scarce, even in the simplest non-abelian case, the case with just three branch points. LÄS MER

  7. 5. Critical recurrence in real quadratic and rational dynamics

    Författare :Mats Bylund; Dynamiska system; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis we study the dynamics of real quadratic functions on the interval, and rational functions on the Riemann sphere. The problems we are considering are concerned with the recurrent nature of the critical orbit(s). LÄS MER