Search for dissertations about: "moduli"

Showing result 1 - 5 of 130 swedish dissertations containing the word moduli.

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. Moduli spaces of zero-dimensional geometric objects

   Author : Christian Lundkvist; Dan Laksov; Jason Starr; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Commutative algebra; Moduli spaces; Algebra and geometry; Algebra och geometri;

   Abstract : The topic of this thesis is the study of moduli spaces of zero-dimensional geometricobjects. The thesis consists of three articles each focusing on a particular moduli space.The first article concerns the Hilbert scheme Hilb(X). This moduli space parametrizesclosed subschemes of a fixed ambient scheme X. READ MORE

5. 3. Stable invariants of some topological moduli spaces

   Author : Erik Lindell; Dan Petersen; Alexander Berglund; Andrew Putman; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Moduli spaces; mapping class groups; stable invariants; matematik; Mathematics;

   Abstract : This thesis consists of three papers, treating stability phenomena in various automorphism groups in topology. In Papers I and III, we study the group (co)homology of certain mapping class groups of surfaces and graphs, or their respective Torelli subgroups, while the subject of Paper II is homotopy automorphisms of higher-dimensional spaces and manifolds. 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. Intersections on moduli spaces of curves

   Author : Sergei Shadrin; Torsten Ekedahl; Carel Faber; Stockholms universitet; []
   Keywords : Mathematics;

   Abstract : We present a new approach to perform calculations with the certain standard classes in cohomology of the moduli spaces of curves. It is based on an important lemma of Ionel relating the intersection theoriy of the moduli space of curves and that of the space of admissible coverings. READ MORE