Rational approximation of holomorphic maps

Let X be a complex nonsingular affine algebraic variety, K compact holomorphically convex subset of X, and Y homogeneous manifold for some linear group. We prove that holomorphic map f:K?Y can uniformly approximated on by regular maps K?Y if only f is homotopic to K?Y. However, it may happen null does not admit uniform approximation X?Y. Here, ?:K?Y called (resp. regular) there exist an open Zariski open) neighborhood U?X ? ˜:U?Y such ˜| =?.