Complete bounded embedded complex curves in $\mathbb C^2$
Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1675-1705.

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We prove that any convex domain of C2 carries properly embedded complete complex curves. In particular, we give the first examples of complete bounded embedded complex curves in C2.
DOI : 10.4171/jems/625
Classification : 32-XX
Keywords: Riemann surfaces, complex curves, complete holomorphic embeddings
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     author = {Antonio Alarc\'on and Francisco J. L\'opez},
     title = {Complete bounded embedded complex curves in $\mathbb C^2$},
     journal = {Journal of the European Mathematical Society},
     pages = {1675--1705},
     publisher = {mathdoc},
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     number = {8},
     year = {2016},
     doi = {10.4171/jems/625},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/625/}
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Antonio Alarcón; Francisco J. López. Complete bounded embedded complex curves in $\mathbb C^2$. Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1675-1705. doi : 10.4171/jems/625. http://geodesic.mathdoc.fr/articles/10.4171/jems/625/

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