Search for dissertations about: "Bochner-Martinelli currents"

Found 5 swedish dissertations containing the words Bochner-Martinelli currents.

  1. 1. Residue currents on singular varieties

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Richard Lärkäng; Göteborgs universitet.; Gothenburg University.; [2012]
    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;

    Abstract : This thesis concerns various aspects of the theory of residue currents. Particularly, we study residue currents on singular varieties and duality theoremsfor such currents.On a singular variety, there are various notions of holomorphic functions. READ MORE

  2. 2. Residue Currents and their Annihilator Ideals

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Elizabeth Wulcan; Göteborgs universitet.; Gothenburg University.; [2007]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; residue currents; Bochner-Martinelli formula; ideals of holomorphic functions; monomial ideals; coherents sheaves; free resolutions of modules; cellular resolutions;

    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

  3. 3. Products of residue currents of Cauchy-Fantappiè-Leray type

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Elizabeth Wulcan; Göteborgs universitet.; Gothenburg University.; [2004]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; residue current; Coleff-Herrera current; Bochner-Martinelli formula; Hermitian vector bundle; Cauchy-Fantappié-Leray formula; complete intersection;

    Abstract : .... READ MORE

  4. 4. On Integral Representation with Weights on Complex Manifolds

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Elin Götmark; Göteborgs universitet.; Gothenburg University.; [2007]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral representation; Bochner-Martinelli formula; Grassmannians; complex projective; space; residue currents; effective null-stellensatz;

    Abstract : .... READ MORE

  5. 5. Residue currents on analytic spaces

    University dissertation from Göteborg

    Author : Richard Lärkäng; Göteborgs universitet.; Gothenburg University.; [2010]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; analytic spaces; weakly holomorphic functions; residue currents; Coleff-Herrera products; the duality theorem;

    Abstract : This thesis concerns residue currents on analytic spaces.In the first paper, we construct Coleff-Herrera productsand Bochner-Martinelli type currents associatedwith a weakly holomorphic mapping, and show that thesecurrents satisfy well-known properties from the stronglyholomorphic case. READ MORE