English

Complete bounded embedded complex curves in C^2

Complex Variables 2016-06-08 v3 Differential Geometry

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

Keywords

Cite

@article{arxiv.1305.2118,
  title  = {Complete bounded embedded complex curves in C^2},
  author = {Antonio Alarcon and Francisco J. Lopez},
  journal= {arXiv preprint arXiv:1305.2118},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-22T00:14:05.276Z