Embedding complete holomorphic discs through discrete sets
Complex Variables
2016-04-05 v1
Abstract
Let U be the open unit disc in C and let B be the open unit ball in C^2. We prove that every discrete subset of B is contained in the range f(U) of a complete, proper holomorphic embedding f:U-->B. Here the completeness of f means that for any path p:[0,1)-->U such that |p(t)|-->1 as t-->1, the path t--> f(p(t)) from [0,1) to B has infinite length.
Cite
@article{arxiv.1604.00684,
title = {Embedding complete holomorphic discs through discrete sets},
author = {Josip Globevnik},
journal= {arXiv preprint arXiv:1604.00684},
year = {2016}
}
Comments
13 pages