从Runge域到仿射代数簇的全纯映射逼近
复变函数
2017-05-17 v2
摘要
我们给出了一个定理的几何证明,该定理表明从Runge域到仿射代数簇的全纯映射允许被Nash映射逼近。接着我们推广了该定理。
引用
@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}
}
备注
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