Search for dissertations about: "Bochner-Martinelli currents"
Found 5 swedish dissertations containing the words Bochner-Martinelli currents.
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1. 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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2. Residue Currents and their Annihilator Ideals
Abstract : This thesis presents results in multidimensional residue theory. From a generically exact complex of locally free analytic sheaves $\mathcal C$ we construct a vector valued residue current $R^\mathcal C$, which in a sense measures the exactness of $\mathcal C$. READ MORE
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3. Products of residue currents of Cauchy-Fantappiè-Leray type
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4. On Integral Representation with Weights on Complex Manifolds
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5. 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