Sökning: "Moduli spaces"

Visar resultat 1 - 5 av 26 avhandlingar innehållade orden Moduli spaces.

  1. 1. Cohomology of arrangements and moduli spaces

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

    Sammanfattning : 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. LÄS MER

  3. 2. Moduli spaces of zero-dimensional geometric objects

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

    Sammanfattning : 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. LÄS MER

  4. 3. Stable invariants of some topological moduli spaces

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

    Sammanfattning : 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. LÄS MER

  5. 4. Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces

    Författare :Lukáš Malý; Anders Björn; Jana Björn; Tomas Sjödin; Andrea Cianchi; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Newtonian space; Sobolev-type space; metric measure space; upper gradient; Sobolev capacity; Banach function lattice; quasi-normed space; rearrangement-invariant space; maximal operator; Lipschitz function; regularization; weak boundedness; density of Lipschitz functions; quasi-continuity; continuity; doubling measure; Poincaré inequality;

    Sammanfattning : This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. LÄS MER

  7. 5. Intersections on moduli spaces of curves

    Författare :Sergei Shadrin; Torsten Ekedahl; Carel Faber; Stockholms universitet; []
    Nyckelord :Mathematics;

    Sammanfattning : 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. LÄS MER