On the decomposition of kähler manifolds with trivial canonical class
On the decomposition of kähler manifolds with trivial canonical class
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具有平凡正则类的凯勒流形的分解
DOI：
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发表时间：
1974
期刊：
影响因子：
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通讯作者：
F. Bogomolov
中科院分区：
文献类型：
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作者：
F. Bogomolov
本文证明了K=0的单连通Kahler流形可以分解成乘积Mn=As×K3m1×…×K3mk，其中H2，0(As)=0，H2，0(K3mi)=1，且形式ωi(2，0)具有最大秩.还刻画了具有单旋型K=0的L(K)和Gt；1的流形。它们可以表示为LK/G，其中K(LK)=0，G是LK的双态自同构群。参考文献：5条。
In this paper it is proved that simply-connected Kahler manifolds with K = 0 may be decomposed into a product Mn = As×K3m1×...×K3mk, where h2, 0(As) = 0, h2, 0(K3mi) = 1 and the form ωi(2, 0) has maximal rank. Also the manifolds with l (K) > 1, of unirational type K = 0, are described. They may be presented as Lk/G, where K(Lk) = 0 and G is a finite group of birational automorphisms of Lk. Bibliography: 5 items.