Complete embedded complex curves in the ball of mathbb{C}² can have any topology
classification
🧮 math.CV
math.DG
keywords
mathbbballcompletecomplexcurvesembeddedgivenadmits
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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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