Discs in Stein manifolds containing given discrete sets |
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Authors: | Barbara Drinovec Drnovšek |
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Institution: | (1) Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia (e-mail: barbara.drinovec@fmf.uni-lj.si) , SI |
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Abstract: | Denote by the open unit disc in . We prove that given a discrete subset S of a connected Stein manifold M there is a proper holomorphic map such that ; if the map f can be chosen to be an embedding. In addition we prove that we can prescribe higher order contacts of with given one dimensional submanifolds in M.
Received: 19 June 2000; in final form: 29 November 2000 / Published online: 19 October 2001 |
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