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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
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
Citation:
F. A. Bogomolov, “On the decomposition of Kähler manifolds with trivial canonical class”, Math. USSR-Sb., 22:4 (1974), 580–583
Linking options:
https://www.mathnet.ru/eng/sm3482https://doi.org/10.1070/SM1974v022n04ABEH001706 https://www.mathnet.ru/eng/sm/v135/i4/p573
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Abstract page: | 900 | Russian version PDF: | 338 | English version PDF: | 27 | References: | 51 |
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