Search for dissertations about: "Riemann surfaces"

Showing result 1 - 5 of 10 swedish dissertations containing the words Riemann surfaces.

  1. 1. Anyons on Riemann surfaces

    Author : Ansar Fayyazuddin; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Molekylfysik; Atomfysik; Kärnfysik; Partikelfysik;

    Abstract : .... READ MORE

  2. 2. Cyclic Trigonal Riemann Surfaces of Genus 4

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

    Abstract : 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. READ MORE

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

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

    Abstract : 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. READ MORE

  4. 4. On the Branch Loci of Moduli Spaces of Riemann Surfaces

    Author : Gabriel Bartolini; Milagros Izquierdo; Allen Broughton; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : The spaces of conformally equivalent Riemann surfaces, Mg where g ≥ 1, are not manifolds. However the spaces of the weaker Teichmüller equivalence, Tg are known to be manifolds. The Teichmüller space Tg is the universal covering of Mg and Mg is the quotient space by the action of the modular group. READ MORE

  5. 5. On the Branch Loci of Moduli Spaces of Riemann Surfaces of Low Genera

    Author : Gabriel Bartolini; Milagros Izquierdo; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Applied mathematics; Tillämpad matematik;

    Abstract : Compact Riemann surfaces of genus greater than 1 can be realized as quotient spaces of the hyperbolic plane by the action of Fuchsian groups. The Teichmüller space is the set of all complex structures of Riemann surfaces and the moduli space the set of conformal equivalence classes of Riemann surfaces. READ MORE