Inégalités de Morse pour la -cohomologie sur une variété holomorphe non compacte
Integral formulas for the -equation on complex projective algebraic manifolds
Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.
We construct a variant of Koppelman's formula for (0,q)-forms with values in a line bundle, O(l), on projective space. The formula is then applied to a study of a Radon transform for (0,q)-forms, introduced by Gindikin-Henkin-Polyakov. Our presentation follows along the basic lines of Henkin-Polyakov [3], with some simplifications.
Invariance of cohomological q-completeness under finite holomorphic surjections.