Search for dissertations about: "multidimensional residue"
Found 3 swedish dissertations containing the words multidimensional residue.
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1. 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
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2. Toric varieties and residues
Abstract : The multidimensional residue theory as well as the theory of integral representations for holomorphic functions is a very powerful tool in complex analysis. The computation of integrals, solving algebraic or differential equations is usually reduced to some residue integral. READ MORE
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3. 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