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Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 4, Pages 580–583
DOI: https://doi.org/10.1070/SM1974v022n04ABEH001706
(Mi sm3482)
 

This article is cited in 54 scientific papers (total in 54 papers)

On the decomposition of Kähler manifolds with trivial canonical class

F. A. Bogomolov
References:
Abstract: In this paper it is proved that simply-connected Kähler manifolds with $K=0$ may be decomposed into a product $M^n=A^s\times K^{m_1}_3\times\cdots\times K^{m_k}_3$, where $h^{2,0}(A^s)=0$, $h^{2,0}(K^{m_i}_3)=1$ and the form $\omega_i(2,0)$ has maximal rank. Also the manifolds with $l(K)>1$, of unirational type $K=0$, are described. They may be presented as $L^k/G$, where $K(L^k)=0$ and $G$ is a finite group of birational automorphisms of $L^k$.
Bibliography: 5 titles.
Received: 30.05.1973
Bibliographic databases:
Document Type: Article
UDC: 513.015.7
MSC: Primary 53C55; Secondary 32C10, 32L05
Language: English
Original paper language: Russian
Citation: F. A. Bogomolov, “On the decomposition of Kähler manifolds with trivial canonical class”, Math. USSR-Sb., 22:4 (1974), 580–583
Citation in format AMSBIB
\Bibitem{Bog74}
\by F.~A.~Bogomolov
\paper On the decomposition of K\"ahler manifolds with trivial canonical class
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 4
\pages 580--583
\mathnet{http://mi.mathnet.ru//eng/sm3482}
\crossref{https://doi.org/10.1070/SM1974v022n04ABEH001706}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=345969}
\zmath{https://zbmath.org/?q=an:0299.32023}
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  • https://doi.org/10.1070/SM1974v022n04ABEH001706
  • https://www.mathnet.ru/eng/sm/v135/i4/p573
  • This publication is cited in the following 54 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:900
    Russian version PDF:338
    English version PDF:27
    References:51
     
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