Averaging of the Cauchy kernels and integral realization of the local residue (Q846882)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Averaging of the Cauchy kernels and integral realization of the local residue |
scientific article; zbMATH DE number 5671530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Averaging of the Cauchy kernels and integral realization of the local residue |
scientific article; zbMATH DE number 5671530 |
Statements
Averaging of the Cauchy kernels and integral realization of the local residue (English)
0 references
15 February 2010
0 references
It is known that Bochner-Martinelli integral formula can be obtained by averaging of the Cauchy formula on some positive measures. In this paper similar formulas for a family of kernels of integral representation associated with toric variety are obtained. These formulas was studied by the first author in some of his previous papers. Here the mentioned kernels generalize the considered integral forms. Applications are given for integral realization of the local residue in algebraic geometry. The paper is interesting for a broad circle of specialists.
0 references
integral representations
0 references
Cauchy kernels
0 references
toric varieties
0 references
local residues
0 references
0 references
