Search for dissertations about: "carel faber"

Showing result 1 - 5 of 9 swedish dissertations containing the words carel faber.

  2. 1. Tautological Rings of Moduli Spaces of Curves

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

    Abstract : 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. READ MORE

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

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

    Abstract : 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. READ MORE

  5. 3. Cohomology of arrangements and moduli spaces

    Author : Olof Bergvall; Carel Faber; Jonas Bergström; Orsola Tommasi; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; moduli spaces; cohomology; toric arrangements; equivariant; point counts; finite fields; mixed Hodge structures; Mathematics; matematik;

    Abstract : This thesis mainly concerns the cohomology of the moduli spaces ℳ3[2] and ℳ3,1[2] of genus 3 curves with level 2 structure without respectively with a marked point and some of their natural subspaces. A genus 3 curve which is not hyperelliptic can be realized as a plane quartic and the moduli spaces ?[2] and ?1[2] of plane quartics without respectively with a marked point are given special attention. READ MORE

  6. 4. Cohomology of the moduli space of curves of genus three with level two structure

    Author : Olof Bergvall; Carel Faber; Jonas Bergström; Johannes Nicaise; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Moduli space; Cohomology; Symplectic structure; Point count; Mathematics; matematik;

    Abstract : In this thesis we investigate the moduli space M3[2] of curves of genus 3 equipped with a symplectic level 2 structure. In particular, we are interested in the cohomology of this space. We obtain cohomological information by decomposing M3[2] into a disjoint union of two natural subspaces, Q[2] and H3[2], and then making S7- resp. READ MORE

  7. 5. Lower estimates for a number of closed trajectories of generalized billiards

    Author : Fedor S. Duzhin; Carel Faber; Oleg Viro; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; MATHEMATICS; MATEMATIK;

    Abstract : .... READ MORE