Integral formulas and integral geometry for \({\bar\partial}\)-cohomologies in \({\mathbb{C}}{\mathbb{P}}^ n\)
type: Item
instance of: scholarly article
title: Integral formulas and integral geometry for \({\bar\partial}\)-cohomologies in \({\mathbb{C}}{\mathbb{P}}^ n\)
zbMATH Open document ID: 0574.32003
DOI: 10.1007/BF01077821
publication date: 1984-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 52A22
zbMATH DE Number: 3916694
zbMATH Keywords: (n-q)-linear concave domain
zbMATH Keywords: Cauchy-Fantappiè integral formula
zbMATH Keywords: integral geometry
author: S. G. Gindikin
MaRDI profile type: Publication
cites work: Q3940444
cites work: Q3846457
cites work: Integration of nonlinear equations by the methods of algebraic geometry
cites work: Existence of surface conditions for nonclassical self-adjoint extensions of the Laplace operator
full work available at URL: https://doi.org/10.1007/bf01077821
OpenAlex ID: W1995300034
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3916694