Every bordered Riemann surface is a complete proper curve in a ball
Complex Variables
2013-10-29 v2 Differential Geometry
Abstract
We prove that every bordered Riemann surface admits a complete proper holomorphic immersion into a ball of C^2, and a complete proper holomorphic embedding into a ball of C^3.
Cite
@article{arxiv.1207.5634,
title = {Every bordered Riemann surface is a complete proper curve in a ball},
author = {Antonio Alarcon and Franc Forstneric},
journal= {arXiv preprint arXiv:1207.5634},
year = {2013}
}
Comments
Math. Ann., in press