Search for dissertations about: "residue currents"

Showing result 1 - 5 of 12 swedish dissertations containing the words residue currents.

  2. 1. Residue currents on singular varieties

    Author : Richard Lärkäng; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; weakly holomorphic functions; duality theorem; Coleff-Herrera products; Bochner-Martinelli currents; residue currents; singular varieties; analytic spaces; local analytic geometry; residue currents;

    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

  4. 2. Residue currents on analytic spaces

    Author : Richard Lärkäng; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; analytic spaces; weakly holomorphic functions; residue currents; Coleff-Herrera products; the duality theorem; weakly holomorphic functions;

    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

  5. 3. Residue Currents and their Annihilator Ideals

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

    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

  6. 4. Polynomial Interpolation and Residue Currents

    Author : Jimmy Johansson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  7. 5. Products of residue currents of Cauchy-Fantappiè-Leray type

    Author : Elizabeth Wulcan; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; residue current; Coleff-Herrera current; Bochner-Martinelli formula; Hermitian vector bundle; Cauchy-Fantappié-Leray formula; complete intersection; residue current;

    Abstract : .... READ MORE