Sökning: "matematik genus"

Visar resultat 1 - 5 av 21 avhandlingar innehållade orden matematik genus.

  1. 1. 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

  3. 2. 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

  4. 3. Point counts and the cohomology of moduli spaces of curves

    Författare :Jonas Bergström; Carel Faber; Lothar Göttsche; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : n this thesis we count the number of points defined over finite fields of certain moduli spaces of pointed curves. The aim is primarily to gain cohomological information. Paper I is joint work with Orsola Tommasi. Here we present details of the method of finding cohomological information on moduli spaces of curves by counting points. LÄS MER

  5. 4. Tautological Rings of Moduli Spaces of Curves

    Författare :Mehdi Tavakol; Carel Faber; Gavril Farkas; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : The purpose of this thesis is to study tautological rings of moduli spaces of curves. The moduli spaces of curves play an important role in algebraic geometry. The study of algebraic cycles on these spaces was started by Mumford. He introduced the notion of tautological classes on moduli spaces of curves. LÄS MER

  7. 5. Stable reduction of curves and tame ramification

    Författare :Lars Halvard Halle; Carel Faber; Bas Edixhoven; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis treats various aspects of stable reduction of curves, and consists of two separate papers. In Paper I of this thesis, we study stable reduction of curves in the case where a tamely ramified base extension is sufficient. LÄS MER