Abstract
We investigate whether a Stein manifold M which allows proper holomorphic embedding into ℂn can be embedded in such a way that the image contains a given discrete set of points and in addition follow arbitrarily close to prescribed tangent directions in a neighbourhood of the discrete set. The infinitesimal version was proven by Forstnerič to be always possible. We give a general positive answer if the dimension of M is smaller than n/2 and construct counterexamples for all other dimensional relations. The obstruction we use in these examples is a certain hyperbolicity condition.
Citation
Stefan Borell. Frank Kutzschebauch. "Embeddings through discrete sets of balls." Ark. Mat. 46 (2) 251 - 269, October 2008. https://doi.org/10.1007/s11512-008-0079-8
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