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arXiv · 1611.06913

Complete embedded complex curves in the ball of $\mathbb{C}^2$ can have any topology

Antonio Alarcon·Josip Globevnik
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Abstract

In this paper we prove that the unit ball $\mathbb{B}$ of $\mathbb{C}^2$ admits complete properly embedded complex curves of any given topological type. Moreover, we provide examples containing any given closed discrete subset of $\mathbb{B}$.

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Antonio Alarcon, Josip Globevnik. 2016-11-21. Complete embedded complex curves in the ball of $\mathbb{C}^2$ can have any topology. https://doi.org/10.2140/apde.2017.10.1987

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