An interpolation theorem for proper holomorphic embeddings

Details An interpolation theorem for proper holomorphic embeddings An interpolation theorem for proper holomorphic embeddings

2005-11-04

arxiv.org/abs/math/0511122v3

Math. Ann. 338 (2007), 545--554

Mathematics

Complex Variables

Scientific paper

10.1007/s00208-007-0087-1

Given a Stein manifold X of dimension n>1, a discrete sequence a_j in X, and a discrete sequence b_j in C^m where m > [3n/2], there exists a proper holomorphic embedding of X into C^m which sends a_j to b_j for every j=1,2,.... This is the interpolation version of the embedding theorem due to Eliashberg, Gromov and Schurmann. The dimension m cannot be lowered in general due to an example of Forster.

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