Approximation of holomorphic maps from Runge domains to affine algebraic varieties
Complex Variables
2017-05-17 v2
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.
Cite
@article{arxiv.1105.2272,
title = {Approximation of holomorphic maps from Runge domains to affine algebraic varieties},
author = {Marcin Bilski and Adam Parusinski},
journal= {arXiv preprint arXiv:1105.2272},
year = {2017}
}
Comments
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