Riemann surfaces and totally real tori

Details Riemann surfaces and totally real tori Riemann surfaces and totally real tori

2009-10-12

arxiv.org/abs/0910.2139v1

Mathematics

Complex Variables

Scientific paper

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.

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