Deformations of compact complex surfaces II

Deformations of compact complex surfaces II
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致密复杂曲面的变形 II

DOI:
10.2969/jmsj/02220247
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发表时间:
1970
影响因子:
0.7
通讯作者:
S. Iitaka
S. Iitaka
中科院分区:
数学4区
文献类型:
--
作者:
S. Iitaka

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这是论文[4]的延续,在本文中称为第一部分。我们使用第一部分的符号,其中我们称复维数为2的连通紧致复流形为“曲面”。本文的目的是证明定理III。多类曲面在任意全纯变形下是不变的。证明是基于意大利代数几何学家和K。科代拉。
This is a continuation of the paper [4], referred to as Part I in this paper. We employ the notation of Part I, in which we call connected compact complex manifolds of complex dimension 2 “ surfaces ‘’. The purpose of the present paper is to prove THEOREM III. Plurigenera of surfaces are invariant under arbitrary holomorphic deformations. The proof is based heavily on the classification theory of all surfaces established by Italian algebraic geometers and K. Kodaira [7].
DOI: --
发表时间: 2006
期刊: Osaka J. Math. 43
影响因子: --
作者:
Takayama S.;Takayama S.;Tsuji H.;Hirachi K.;Takagi H.;Takagi H.;Tsuji H.
通讯作者: Tsuji H.