Sökning: "ideals of holomorphic functions"

Hittade 3 avhandlingar innehållade orden ideals of holomorphic functions.

  1. 1. Ideals and boundaries in Algebras of Holomorphic functions

    Författare :Linus Carlsson; Anders Fällström; Jan Wiegerinck; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; maximal ideal space; the Gleason problem; generalized Shilov boundaries; Nebenhülle; the Koszul complex; Banach algebras of holomorphic functions; MATHEMATICS; MATEMATIK;

    Sammanfattning : We investigate the spectrum of certain Banach algebras. Properties like generators of maximal ideals and generalized Shilov boundaries are studied. LÄS MER

  3. 2. Residue Currents and their Annihilator Ideals

    Författare :Elizabeth Wulcan; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; residue currents; Bochner-Martinelli formula; ideals of holomorphic functions; monomial ideals; coherents sheaves; free resolutions of modules; cellular resolutions; coherents sheaves;

    Sammanfattning : 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 $\mathcal C$. LÄS MER

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

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

    Sammanfattning : 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. LÄS MER