Sökning: "duality theorem"

Visar resultat 1 - 5 av 12 avhandlingar innehållade orden duality theorem.

  1. 1. Koszul duality for categories and a relative Sullivan-Wilkerson theorem

    Författare :Hadrien Espic; Gregory Arone; Alexander Berglund; Bjørn Dundas; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Koszul duality; categories; Yoneda algebra; operads; dg modules; homotopy automorphisms; Sullivan-Wilkerson; arithmetic group; matematik; Mathematics;

    Sammanfattning : This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an analogue of the Sullivan-Wilkerson theorem for relative CW-complexes.In Paper I, we define a general notion of Koszul dual in the context of a monoidal biclosed model category. LÄS MER

  3. 2. Residue currents on singular varieties

    Författare :Richard Lärkäng; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; weakly holomorphic functions; duality theorem; Coleff-Herrera products; Bochner-Martinelli currents; residue currents; singular varieties; analytic spaces; local analytic geometry; residue currents;

    Sammanfattning : This thesis concerns various aspects of the theory of residue currents. Particularly, we study residue currents on singular varieties and duality theorems for such currents. On a singular variety, there are various notions of holomorphic functions. LÄS MER

  4. 3. Residue currents on analytic spaces

    Författare :Richard Lärkäng; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; analytic spaces; weakly holomorphic functions; residue currents; Coleff-Herrera products; the duality theorem; weakly holomorphic functions;

    Sammanfattning : This thesis concerns residue currents on analytic spaces. In the first paper, we construct Coleff-Herrera products and Bochner-Martinelli type currents associated with a weakly holomorphic mapping, and show that these currents satisfy well-known properties from the strongly holomorphic case. LÄS MER

  5. 4. On Stratified Algebras and Lie Superalgebras

    Författare :Anders Frisk; Volodymyr Mazorchuk; Karl-Heinz Fieseler; Steffen Koenig; Uppsala universitet; []
    Nyckelord :Algebra and geometry; Stratified algebras; Lie Superalgebras; Properly stratified algebras; Quasi-hereditary algebras; the queer Lie superalgebra; Kostant s Theorem; Algebra och geometri;

    Sammanfattning : This thesis, consisting of three papers and a summary, studies properties of stratified algebras and representations of Lie superalgebras.In Paper I we give a characterization when the Ringel dual of an SSS-algebra is properly stratified. LÄS MER

  7. 5. On Amoebas and Multidimensional Residues

    Författare :Johannes Lundqvist; Mats Andersson; Martín Sombra; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; amoeba; multidimensional residue; duality principle; effective; uniform; Artin-Rees; Ronkin function; Mathematics; matematik;

    Sammanfattning : This thesis consists of four papers and an introduction. In Paper I we calculate the second order derivatives of the Ronkin function of an affine polynomial in three variables. This gives an expression for the real Monge-Ampére measure associated to the hyperplane amoeba. LÄS MER