English

Proper holomorphic embeddings into Stein manifolds with the density property

Complex Variables 2016-11-23 v2

Abstract

We prove that a Stein manifold of dimension dd admits a proper holomorphic embedding into any Stein manifold of dimension at least 2d+12d+1 satisfying the holomorphic density property. This generalizes classical theorems of Remmert, Bishop and Narasimhan pertaining to embeddings into complex Euclidean spaces, as well as several other recent results.

Keywords

Cite

@article{arxiv.1309.6956,
  title  = {Proper holomorphic embeddings into Stein manifolds with the density property},
  author = {Rafael Andrist and Franc Forstneric and Tyson Ritter and Erlend Fornaess Wold},
  journal= {arXiv preprint arXiv:1309.6956},
  year   = {2016}
}

Comments

To appear in J. d'Analyse Math

R2 v1 2026-06-22T01:34:50.629Z