Complete bounded embedded complex curves in C^2

Abstract

We prove that any convex domain of C^2 carries properly embedded complete complex curves. In particular, we exhibit the first examples of complete bounded embedded complex curves in C^2

To appear in J. Eur. Math. Soc. (JEMS)

References in corpus (2)

• Bordered Riemann surfaces in C^2
• Every bordered Riemann surface is a complete proper curve in a ball

Cited by in corpus (6)

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