Riemann surfaces and totally real tori
Complex Variables
2009-10-13 v1
Abstract
Given a generic totally real torus unknotted in the unit sphere of the complex plane, we prove the following alternative : either there exists a filling of the torus by holomorphic discs and the torus is rationally convex, or its rational hull contains a holomorphic annulus.
Cite
@article{arxiv.0910.2139,
title = {Riemann surfaces and totally real tori},
author = {Julien Duval and Damien Gayet},
journal= {arXiv preprint arXiv:0910.2139},
year = {2009}
}