Search for dissertations about: "Artin-Rees"

Found 2 swedish dissertations containing the word Artin-Rees.

  2. 1. On Amoebas and Multidimensional Residues

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

    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

  4. 2. An analytic approach to Briancon-Skoda type theorems

    Author : Jacob Sznajdman; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Briancon-Skoda theorem; Artin-Rees lemma; Singular varieties; Residue calculus; Milnor number; Milnor number;

    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