Stein neighborhoods of graphs of holomorphic mappings

Evgeny A. Poletsky

doi:10.1515/crelle-2011-0009

Stein neighborhoods of graphs of holomorphic mappings

Evgeny A. Poletsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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 thatunder these conditions the mappings have properties analogous to properties of holomorphic functions on compact sets in Cn.

Original language	English (US)
Pages (from-to)	187-198
Number of pages	12
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	684
DOIs	https://doi.org/10.1515/crelle-2011-0009
State	Published - Nov 2013

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1515/crelle-2011-0009

Cite this

@article{2334ab0d3b6445aa803f13d6787a1a49,

title = "Stein neighborhoods of graphs of holomorphic mappings",

abstract = "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 thatunder these conditions the mappings have properties analogous to properties of holomorphic functions on compact sets in Cn.",

author = "Poletsky, {Evgeny A.}",

note = "Funding Information: The author was supported by the NSF Grant DMS-0900877.",

year = "2013",

month = nov,

doi = "10.1515/crelle-2011-0009",

language = "English (US)",

pages = "187--198",

journal = "Journal fur die Reine und Angewandte Mathematik",

issn = "0075-4102",

publisher = "Walter de Gruyter GmbH",

number = "684",

}

TY - JOUR

T1 - Stein neighborhoods of graphs of holomorphic mappings

AU - Poletsky, Evgeny A.

N1 - Funding Information: The author was supported by the NSF Grant DMS-0900877.

PY - 2013/11

Y1 - 2013/11

N2 - 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 thatunder these conditions the mappings have properties analogous to properties of holomorphic functions on compact sets in Cn.

AB - 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 thatunder these conditions the mappings have properties analogous to properties of holomorphic functions on compact sets in Cn.

UR - http://www.scopus.com/inward/record.url?scp=84888226634&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888226634&partnerID=8YFLogxK

U2 - 10.1515/crelle-2011-0009

DO - 10.1515/crelle-2011-0009

M3 - Article

AN - SCOPUS:84888226634

SN - 0075-4102

SP - 187

EP - 198

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 684

ER -

Stein neighborhoods of graphs of holomorphic mappings

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this