Approximation of holomorphic maps from Runge domains to affine algebraic varieties
arXiv:1105.2272 · doi:10.1112/jlms/jdu047
Abstract
We present a geometric proof of the theorem saying that holomorphic maps from Runge domains to affine algebraic varieties admit approximation by Nash maps. Next we generalize this theorem.
24 pages; Proposition 3.3 of v1 is replaced in v2 by a much simpler Proposition 4.2; Proof of Proposition 3.6 of v1 is simplified (see Proposition 4.3 in v2); Proof of the main theorem is simplified, its outline and generalization are added