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Mathematics of the USSR-Sbornik, 1969, Volume 8, Issue 3, Pages 335–344
DOI: https://doi.org/10.1070/SM1969v008n03ABEH001278
(Mi sm3592)
 

This article is cited in 1 scientific paper (total in 1 paper)

On the triviality of families of compact complex spaces

P. L. Polyakov
References:
Abstract: The paper proves the following theorem (a generalization of the corresponding Grauert–Fischer theorem): if there is a holomorphic deformation $X_s$ of a compact complex space (in the sense of Serre) $X$, where the parameter $s$ of the deformation runs through the complex space $S$, and if all the $X_s$ are isomorphic to $X$, then the deformation is trivial.
Bibliography: 7 titles.
Received: 23.09.1968
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1969, Volume 79(121), Number 3(7), Pages 357–367
Bibliographic databases:
UDC: 513.836+519.46
Language: English
Original paper language: Russian
Citation: P. L. Polyakov, “On the triviality of families of compact complex spaces”, Mat. Sb. (N.S.), 79(121):3(7) (1969), 357–367; Math. USSR-Sb., 8:3 (1969), 335–344
Citation in format AMSBIB
\Bibitem{Pol69}
\by P.~L.~Polyakov
\paper On~the triviality of families of compact complex spaces
\jour Mat. Sb. (N.S.)
\yr 1969
\vol 79(121)
\issue 3(7)
\pages 357--367
\mathnet{http://mi.mathnet.ru/sm3592}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=245833}
\zmath{https://zbmath.org/?q=an:0216.10403}
\transl
\jour Math. USSR-Sb.
\yr 1969
\vol 8
\issue 3
\pages 335--344
\crossref{https://doi.org/10.1070/SM1969v008n03ABEH001278}
Linking options:
  • https://www.mathnet.ru/eng/sm3592
  • https://doi.org/10.1070/SM1969v008n03ABEH001278
  • https://www.mathnet.ru/eng/sm/v121/i3/p357
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:242
    Russian version PDF:95
    English version PDF:11
    References:43
     
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