THE LEVI PROBLEM FOR RIEMANN DOMAINS OVER THE BLOW-UP OF C^<n+1> AT THE ORIGIN

Gasitoi, Natalia

Osaka Journal of Mathematics, 2014, 51(3), 657-663

アクセス数:155件（2026-08-11 09:22 集計）

固定URL: https://doi.org/10.18910/50801

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タイトル	THE LEVI PROBLEM FOR RIEMANN DOMAINS OVER THE BLOW-UP OF C^<n+1> AT THE ORIGIN
著者	著者名 Gasitoi, Natalia
抄録	We investigate unbranched Riemann domains p : X → C^^<~>^<n+1> over the blow-up of C^<n+1> at the origin in the case when p is a Stein morphism. We prove that such a domain is Stein if and only if it does not contain an open set G ⊂ X such that p\|_G is injective and p(G) contains a subset of the form W＼A, where A is the exceptional divisor of C^^<~>^<n+1> and W is an open neighborhood of A.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	51(3)
ページ	657-663
刊行年月	2014-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/50801
DOI	https://doi.org/10.18910/50801
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 51, Number 3　(2014-7）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2014, 51(3), p. 657-663
DC.title	THE LEVI PROBLEM FOR RIEMANN DOMAINS OVER THE BLOW-UP OF C^<n+1> AT THE ORIGIN
DC.creator	Gasitoi, Natalia
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2014-07
DCTERMS.abstract	We investigate unbranched Riemann domains p : X → C^^<~>^<n+1> over the blow-up of C^<n+1> at the origin in the case when p is a Stein morphism. We prove that such a domain is Stein if and only if it does not contain an open set G ⊂ X such that p\|_G is injective and p(G) contains a subset of the form W＼A, where A is the exceptional divisor of C^^<~>^<n+1> and W is an open neighborhood of A.
DC.identifier	10.18910/50801
DC.format	50801
citation_title	THE LEVI PROBLEM FOR RIEMANN DOMAINS OVER THE BLOW-UP OF C^<n+1> AT THE ORIGIN
citation_author	Gasitoi, Natalia
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2014-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	51
citation_issue	3
citation_firstpage	657
citation_lastpage	663
citation_public_url	https://hdl.handle.net/11094/50801
citation_doi_detail	10.18910/50801
citation_doi	https://doi.org/10.18910/50801