Integral formulas and integral geometry for \({\bar\partial}\)-cohomologies in \({\mathbb{C}}{\mathbb{P}}^ n\)
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.
scientific article; zbMATH DE number 3916694