Sökning: "Sheaf cohomology"

Hittade 4 avhandlingar innehållade orden Sheaf cohomology.

  1. 1. Decomposition of perverse sheaves

    Författare :Iara Cristina Alvarinho Gonçalves; Rikard Bögvad; Nero Budur; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Sheaf cohomology; hyperplane arrangements; D-modules; Mathematics; matematik;

    Sammanfattning : This PhD thesis consists in three papers in which we describe irreducibility conditions and the number of factors in a composition series of certain perverse sheaves. We study some particular cases, providing examples and showing how to explicitly use perverse sheaves to obtain precise results. LÄS MER

  3. 2. A descent principle for compact support extensions of functors

    Författare :Josefien Kuijper; Dan Petersen; Tom Bachmann; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Sammanfattning : This licentiate thesis consists of one paper about cohomology theories of algebraic varieties. Certain cohomology theories, such as singular cohomology of topological spaces, and sheaf cohomology, have a variant that we call “compactly supported cohomology”. LÄS MER

  4. 3. 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

  5. 4. Universal algebraic structures on polyvector fields

    Författare :Johan Alm; Sergei Merkulov; Anton Alekseev; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Sammanfattning : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. LÄS MER