Rationally convex embeddings of real surfaces into ℂ²

2018/11/04 by Broemeling, Luke, Shafikov, Rasul
#32E20 (Primary) #32V40 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.01423

Abstract

Rationally convex topological embeddings of compact surfaces (closed or with boundary) into ℂ² are constructed.

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• Embedding Riemann Surfaces Properly into \CC²
• Rationally Convex Surfaces with hyperbolic complex tangencies
• Real rational surfaces
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• Proper holomorphic embeddings of Riemann surfaces with arbitrary\n topology into \ℂ²