Search for dissertations about: "Riemann surfaces"
Showing result 1 - 5 of 10 swedish dissertations containing the words Riemann surfaces.
-
1. Anyons on Riemann surfaces
Abstract : .... READ MORE
-
2. Cyclic Trigonal Riemann Surfaces of Genus 4
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. On the Moduli Space of Cyclic Trigonal Riemann Surfaces of Genus 4
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. On the Branch Loci of Moduli Spaces of Riemann Surfaces
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. On the Branch Loci of Moduli Spaces of Riemann Surfaces of Low Genera
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