Search for dissertations about: "cohomology"

Showing result 1 - 5 of 41 swedish dissertations containing the word cohomology.

  2. 1. 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

  4. 2. Low-dimensional cohomology of current Lie algebras

    Author : Pasha Zusmanovich; Rikard Bögvad; Dimitry Leites; Semyon Konstein; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Current Lie algebra; modular Lie algebra; Kac-Moody algebra; cohomology; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; matematik; Mathematics;

    Abstract : We deal with low-dimensional homology and cohomology of current Lie algebras, i.e., Lie algebras which are tensor products of a Lie algebra L and an associative commutative algebra A. READ MORE

  5. 3. Stacky Modifications and Operations in the Étale Cohomology of Number Fields

    Author : Eric Ahlqvist; David Rydh; Alexander Schmidt; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; stacks; ramified covers; étale cohomology; cup product; Massey product; Galois cohomology; building data; 2-cocycles; Matematik; Mathematics;

    Abstract : This thesis consists of 4 papers. In Paper A we define stacky building data for stacky covers in the spirit of Pardini and give an equivalence of (2,1)- categories between the category of stacky covers and the category of stacky building data. READ MORE

  6. 4. A Cubical Formalisation of Cohomology Theory and π4(S3) ≅ Z/2Z

    Author : Axel Ljungström; Anders Mörtberg; Eric Finster; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Homotopy Type Theory; Cohomology; Formalisation;

    Abstract : .... READ MORE

  7. 5. 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