  We prove an analogue of the de Rham theorem for polar homology; that the
polar homology $HP_q(X)$ of a smooth projective variety $X$ is isomorphic to
its $H^{n,n-q}$ Dolbeault cohomology group. This analogue can be regarded as a
geometric complexification where arbitrary (sub)manifolds are replaced by
complex (sub)manifolds and de Rham's operator $d$ is replaced by Dolbeault's
$\bar\partial$.
