Integral formulas and integral geometry for \({\bar\partial}\)-cohomologies in \({\mathbb{C}}{\mathbb{P}}^ n\) (Q1063734)
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scientific article; zbMATH DE number 3916694
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral formulas and integral geometry for \({\bar\partial}\)-cohomologies in \({\mathbb{C}}{\mathbb{P}}^ n\) |
scientific article; zbMATH DE number 3916694 |
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Integral formulas and integral geometry for \({\bar\partial}\)-cohomologies in \({\mathbb{C}}{\mathbb{P}}^ n\) (English)
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1984
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Let D be a (n-q)-linear concave domain in the complex projective space \({\mathbb{C}}P^ n\). In the paper the generalization of Cauchy-Fantappiè integral formula for q-dimensional cohomology \(H^ q(D,{\mathcal O}(-s))\), \(1\leq s\leq n\), is obtained. Some applications of this formula for integral geometry are deduced.
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(n-q)-linear concave domain
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Cauchy-Fantappiè integral formula
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integral geometry
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