Search for dissertations about: "Artin-Rees lemma"
Found 2 swedish dissertations containing the words Artin-Rees lemma.
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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. An analytic approach to Briancon-Skoda type theorems
Abstract : The Briancon-Skoda theorem can be seen as an effective version of the Hilbert Nullstellensatz and gives a connection between size conditions on holomorphic functions and ideal membership. The size conditions are captured algebraically by the notion of integral closure of ideals. READ MORE