An interpolation theorem for proper holomorphic embeddings
Abstract
Given a Stein manifold X of dimension n>1, a discrete sequence aj in X, and a discrete sequence bj in Cm where m > [3n/2], there exists a proper holomorphic embedding of X into Cm which sends aj to bj 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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