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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 1, Pages 171–188
DOI: https://doi.org/10.1070/IM1982v019n01ABEH001406 (Mi im1589) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Levi form for $C^1$-smooth hypersurfaces, and the complex structure on the boundary of domains of holomorphy

N. V. Shcherbina
English version PDF (950 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM1982v019n01ABEH001406
Abstract: A description is given of the set of those boundary points of a domain of holomorphy $D\subset\mathbf C^2$ which have a neighborhood in which the boundary fibers into analytic curves. For domains with $C^1$-smooth boundary whose closure has a basis of Stein neighborhoods this set coincides with the complement of the Shilov boundary $S_{A(\overline D)}$.
Bibliography: 5 titles.
Received: 10.03.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 4, Pages 874–895
Bibliographic databases:
UDC: 517.5
MSC: 32F99
Language: English
Original paper language: Russian
Citation: N. V. Shcherbina, “The Levi form for $C^1$-smooth hypersurfaces, and the complex structure on the boundary of domains of holomorphy”, Izv. Akad. Nauk SSSR Ser. Mat., 45:4 (1981), 874–895; Math. USSR-Izv., 19:1 (1982), 171–188
Citation in format AMSBIB
\Bibitem{Shc81}
\by N.~V.~Shcherbina
\paper The Levi form for $C^1$-smooth hypersurfaces, and the complex structure on the boundary of domains of holomorphy
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 4
\pages 874--895
\mathnet{http://mi.mathnet.ru/im1589}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=631442}
\zmath{https://zbmath.org/?q=an:0513.32019|0487.32009}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 1
\pages 171--188
\crossref{https://doi.org/10.1070/IM1982v019n01ABEH001406}
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  • https://www.mathnet.ru/eng/im/v45/i4/p874
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:347
    Russian version PDF:129
    English version PDF:26
    References:62
    First page:1
     
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