Search for dissertations about: "residue current"

Showing result 1 - 5 of 47 swedish dissertations containing the words residue current.

  2. 1. Toric varieties and residues

    Author : Alexey Shchuplev; Mikael Passare; Alekos Vidras; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; toric variety; residue; residue current; integral representation; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    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

  4. 2. 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

  5. 3. 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

  6. 4. 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

  7. 5. 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