Holomorphic projective structures on compact complex surfaces. II

Holomorphic projective structures on compact complex surfaces. II
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紧凑复杂表面上的全纯射影结构。

DOI:
10.1007/bf01451931
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发表时间:
1984
影响因子:
1.4
通讯作者:
T. Ochiai
T. Ochiai
中科院分区:
数学2区
文献类型:
--
作者:
Shôshichi Kobayashi;T. Ochiai

文献摘要

被引文献

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在文[3]中,我们研究了复流形上的全纯法射影联络,对所有容许全纯射影联络平坦的紧致复解析曲面进行了分类,并提出了主定理[3,p.75]中所列的曲面是否是唯一容许全纯射影联络的曲面的问题。我们在那里指出,我们只需要研究具有非充分典型丛的一般类型的曲面。在本文中,我们将通过以下几点来肯定地解决这个问题
In our paper [3], we studied holomorphic normal projective connections on complex manifolds and classified all compact complex analytic surfaces which admitflat holomorphic projective connections and raised the question whether the surfaces listed in the main theorem [3, p. 75] are the only surfaces which admit holomorphic projective connections. We remarked there that we have only to examine surfaces of general type with non-ample canonical bundle. In this paper we shall settle the question affirmatively by showing the following