Stein neighborhoods of graphs of holomorphic mappings

Details Stein neighborhoods of graphs of holomorphic mappings Stein neighborhoods of graphs of holomorphic mappings

2011-07-25

arxiv.org/abs/1107.5034v1

Mathematics

Complex Variables

Scientific paper

In this paper we provide sufficient conditions for the graphs of holomorphic
mappings on compact sets in complex manifolds to have Stein neighborhoods. We
show that under these conditions the mappings have properties analogous to
properties of holomorphic functions on compact sets in $\mathbb C^n$.

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