Complete embedded complex curves in the ball of $\mathbb{C}^2$ can have any topology
Complex Variables
2018-03-16 v1 Differential Geometry
Abstract
In this paper we prove that the unit ball of admits complete properly embedded complex curves of any given topological type. Moreover, we provide examples containing any given closed discrete subset of .
Keywords
Cite
@article{arxiv.1611.06913,
title = {Complete embedded complex curves in the ball of $\mathbb{C}^2$ can have any topology},
author = {Antonio Alarcon and Josip Globevnik},
journal= {arXiv preprint arXiv:1611.06913},
year = {2018}
}
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13 pages