Search for dissertations about: "duality theorem"
Showing result 1 - 5 of 12 swedish dissertations containing the words duality theorem.
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1. Koszul duality for categories and a relative Sullivan-Wilkerson theorem
Abstract : 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. READ MORE
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2. Residue currents on singular varieties
Abstract : 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. READ MORE
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3. Residue currents on analytic spaces
Abstract : 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. READ MORE
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4. On Stratified Algebras and Lie Superalgebras
Abstract : 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. READ MORE
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5. On Amoebas and Multidimensional Residues
Abstract : 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. READ MORE