Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn
arXiv:1012.4438
Abstract
We show that the complex Radon transform realizes an isomorphism between the space of residual -cohomologies of a locally complete intersection subvariety in a linearly concave domain of ${\C}P^n$ and the space of holomorphic solutions of the associated homogeneous system of differential equations withconstant coefficients in the dual domain in $({\C}P^n)^*$.