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Global variants of Hartogs’ theorem
Journal
Archiv der Mathematik
70
Author
Bochnak Jacek
Kucharz Wojciech
Volume
113
Issue
3
Pages
281-290
ISSN
0003-889X
eISSN
1420-8938
Keywords in English
separately holomorphic
Hartogs’ theorem
complex algebraic manifold
global Hartogs’ theorem
Nash function
regular function
Language
English
Container language
English
Abstract in English
Hartogs’ theorem asserts that a separately holomorphic function, defined on an open subset of Cn, is holomorphic in all the variables. We prove a global variant of this theorem for functions defined on an open subset of the product of complex algebraic manifolds. We also obtain global Hartogs-type theorems for complex Nash functions and complex regular functions.
Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
| cris.lastimport.scopus | 2024-04-27T01:33:35Z | |
| cris.lastimport.wos | 2024-04-09T19:58:58Z | |
| dc.abstract.en | Hartogs’ theorem asserts that a separately holomorphic function, defined on an open subset of Cn, is holomorphic in all the variables. We prove a global variant of this theorem for functions defined on an open subset of the product of complex algebraic manifolds. We also obtain global Hartogs-type theorems for complex Nash functions and complex regular functions. | pl |
| dc.affiliation | Wydział Matematyki i Informatyki : Instytut Matematyki | pl |
| dc.contributor.author | Bochnak, Jacek | pl |
| dc.contributor.author | Kucharz, Wojciech - 200567 | pl |
| dc.date.accessioned | 2019-08-30T11:25:23Z | |
| dc.date.available | 2019-08-30T11:25:23Z | |
| dc.date.issued | 2019 | pl |
| dc.date.openaccess | 0 | |
| dc.description.accesstime | w momencie opublikowania | |
| dc.description.number | 3 | pl |
| dc.description.physical | 281-290 | pl |
| dc.description.version | ostateczna wersja wydawcy | |
| dc.description.volume | 113 | pl |
| dc.identifier.doi | 10.1007/s00013-019-01340-7 | pl |
| dc.identifier.eissn | 1420-8938 | pl |
| dc.identifier.issn | 0003-889X | pl |
| dc.identifier.project | 2014/15/B/ST1/00046 | pl |
| dc.identifier.project | ROD UJ / OP | pl |
| dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/81561 | |
| dc.language | eng | pl |
| dc.language.container | eng | pl |
| dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
| dc.rights.licence | CC-BY | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
| dc.share.type | inne | |
| dc.subject.en | separately holomorphic | pl |
| dc.subject.en | Hartogs’ theorem | pl |
| dc.subject.en | complex algebraic manifold | pl |
| dc.subject.en | global Hartogs’ theorem | pl |
| dc.subject.en | Nash function | pl |
| dc.subject.en | regular function | pl |
| dc.subtype | Article | pl |
| dc.title | Global variants of Hartogs’ theorem | pl |
| dc.title.journal | Archiv der Mathematik | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
Affiliations
Wydział Matematyki i Informatyki
Kucharz, Wojciech
No affiliation
Bochnak, Jacek
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Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence