# Sökning: "Bochner-Martinelli currents"

1. ## 1. Residue currents on singular varieties

Sammanfattning : 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. LÄS MER

2. ## 2. Residue Currents and their Annihilator Ideals

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

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

Sammanfattning : .... LÄS MER

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

Sammanfattning : .... LÄS MER

5. ## 5. Residue currents on analytic spaces

Sammanfattning : 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. LÄS MER