Every bordered Riemann surface is a complete proper curve in a ball |
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Authors: | Antonio Alarcón Franc Forstnerič |
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Affiliation: | 1. Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain 2. Faculty of Mathematics and Physics, Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia
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Abstract: | We prove that every bordered Riemann surface admits a complete proper holomorphic immersion into a ball of $mathbb C ^2$ , and a complete proper holomorphic embedding into a ball of $mathbb C ^3$ . |
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