An interpolation theorem for proper holomorphic embeddings
Complex Variables
2007-08-16 v3
Abstract
Given a Stein manifold X of dimension n>1, a discrete sequence a_j in X, and a discrete sequence b_j in C^m where m > [3n/2], there exists a proper holomorphic embedding of X into C^m which sends a_j to b_j for every j=1,2,.... This is the interpolation version of the embedding theorem due to Eliashberg, Gromov and Schurmann. The dimension m cannot be lowered in general due to an example of Forster.
Cite
@article{arxiv.math/0511122,
title = {An interpolation theorem for proper holomorphic embeddings},
author = {Franc Forstneric and Bjorn Ivarsson and Frank Kutzschebauch and Jasna Prezelj},
journal= {arXiv preprint arXiv:math/0511122},
year = {2007}
}