An interpolation theorem for proper holomorphic embeddings

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dc.creatorForstneric, Franc
dc.creatorIvarsson, Bjorn
dc.creatorKutzschebauch, Frank
dc.creatorPrezelj, Jasna
dc.date2005-11-04
dc.date2007-08-16
dc.date.accessioned2026-07-07T08:23:49Z
dc.date.available2026-07-07T08:23:49Z
dc.descriptionGiven 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.
dc.identifierhttps://arxiv.org/abs/math/0511122
dc.identifierhttp://arxiv.org/abs/math/0511122
dc.identifierMath. Ann. 338 (2007), 545--554
dc.identifierdoi:10.1007/s00208-007-0087-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136133
dc.subjectComplex Variables
dc.subject32C22, 32E10, 32H05, 32M17
dc.titleAn interpolation theorem for proper holomorphic embeddings
dc.typetext

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