%0 Journal Article %T Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn %A Gennadi M. Henkin %A Peter L. Polyakov %J Mathematics %D 2010 %I arXiv %X We show that the complex Radon transform realizes an isomorphism between the space of residual $\bar\partial$-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 $({\C}P^n)^*$. %U http://arxiv.org/abs/1012.4438v2