Complex curves in pseudoconvex Runge domains containing discrete subsets

2017/03/27 by Alarcon, Antonio
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1703.08948

Abstract

For any pseudoconvex Runge domain Ω⊂ℂ² we prove that every closed discrete subset in Ω is contained in a properly embedded complex curve in Ω with any prescribed topology (possibly infinite).

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