Abstract:We prove that the interior of any compact complex curve with smooth boundary in C 2 admits a proper holomorphic embedding into C 2 . In particular, if D is a bordered Riemann surface whose closure admits a holomorphic embedding into C 2 , then D admits a proper holomorphic embedding into C 2 .
R ÉSUM ÉOn montre que l'interieur d'une courbe complexe compacte avec bord lisse dans C 2 admet un plongement holomorphe propre dans C 2 . En particulier, si D est une surface de Riemann avec bord dont la fermeture admet… Show more
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