Embedding Riemann Surfaces Properly into \CC²

2006/02/20 by Erlend Fornæss Wold, Wold, Erlend Fornaess
Mathematics · #32H02 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0602442

openalex publication_date 2006/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For certain bordered submanifolds M⊂\CC² we show that M can be embedded properly and holomorphically into \CC². An application is that any subset of a torus with two boundary components can be embedded properly into \CC².

Related

• Embedding subsets of tori Properly into \CC²
• Proper holomorphic embeddings of Riemann surfaces with arbitrary\n topology into \ℂ²
• Proper Holomorphic Embeddings of Finitely and Some Infinitely Connected Subsets of \CC Into \CC²
• Embedding some bordered Riemann surfaces in the affine plane
• Rationally convex embeddings of real surfaces into ℂ²