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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 269–287 (Mi tm3432)  
This article is cited in 3 scientific papers (total in 3 papers)

Bochner–Hartogs type extension theorem for roots and logarithms of holomorphic line bundles

S. Ivashkovichab

a Université Lille-1, UFR de Mathématiques, Villeneuve d'Ascq, France
b Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, L'viv, Ukrain
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Abstract: We prove an extension theorem for roots and logarithms of holomorphic line bundles across strictly pseudoconcave boundaries: they extend in all cases except one, when the dimension and Morse index of a critical point is 2. In that case we give an explicit description of obstructions to the extension.
Received in April 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 257–275
DOI: https://doi.org/10.1134/S0081543812080184
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: S. Ivashkovich, “Bochner–Hartogs type extension theorem for roots and logarithms of holomorphic line bundles”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 269–287; Proc. Steklov Inst. Math., 279 (2012), 257–275
Citation in format AMSBIB
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\by S.~Ivashkovich
\paper Bochner--Hartogs type extension theorem for roots and logarithms of holomorphic line bundles
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 279
\pages 269--287
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3432}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3086770}
\elib{https://elibrary.ru/item.asp?id=18447462}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 257--275
\crossref{https://doi.org/10.1134/S0081543812080184}
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Linking options:
  • https://www.mathnet.ru/eng/tm3432
  • https://www.mathnet.ru/eng/tm/v279/p269
    • This publication is cited in the following 3 articles:
    1. Zh. Chen, “A counterexample to Hartogs' type extension of holomorphic line bundles”, J. Geom. Anal., 28:3 (2018), 2624–2643  crossref  mathscinet  isi  scopus
    2. C. Canales Gonzalez, “Levi-flat hypersurfaces and their complement in complex surfaces”, Ann. Inst. Fourier, 67:6 (2017), 2423–2462  crossref  mathscinet  isi  scopus
    3. R. B. Andrist, N. Shcherbina, E. F. Wold, “The Hartogs extension theorem for holomorphic vector bundles and sprays”, Ark. Mat., 54:2 (2016), 299–319  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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