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math.CV2002
Hartogs type extension theorems
Miran Cerne, Manuel Flores
This paper has been withdrawn by the authors due to an error.
math.CV2002
Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces
Miran Cerne
Let S be a bordered Riemann surface with genus g and m boundary components. For a smooth family of smooth Jordan curves in the complex plane parametrized by the boundary of S and s…
math.CV2001
Embedding some bordered Riemann surfaces in the affine plane
Miran Cerne, Franc Forstneric
We study the existence of proper holomorphic embeddings of bordered Riemann surfaces into the complex plane C^2. Denote by M(R) the moduli space consisting of all equivalence class…