Some problems on differentiable and complex manifolds
Some problems on differentiable and complex manifolds
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DOI：
10.2307/1969629
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发表时间：
1954-09
影响因子：
4.9
通讯作者：
F. Hirzebruch
中科院分区：
文献类型：
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作者：
F. Hirzebruch
1953年5月3日至5月7日，康奈尔大学召开了一次题为“纤维丛与微分几何”的会议。它得到了国家科学基金会的资助。本文件的目的是记录这些问题在会议上提出的关注可微，几乎复杂，复杂，代数流形。自会议以来，一些问题已经得到解决。这些解决办法引起了我们将要讨论的新问题。本报告分为三个部分：可微流形，几乎复流形，复流形。最后一部分也是关于代数簇的问题。由于前两节中的一些问题是由代数簇的定理引起的，因此在第1节和第2节到第3.1节中偶尔会提到这些问题。作者感谢K教授。科代拉和D. C.斯宾塞衷心感谢在编写本报告期间进行的许多讨论和提出的宝贵建议。
A conference with the title Fiber bundles and differential geometry was held at Cornell University from May 3 to May 7, 1953.* It was supported by a grant from the National Science Foundation. The purpose of the present paper is to record those problems presented at the conference which concern differentiable, almost-complex, complex, and algebraic manifolds. Several of the problems have been solved since the conference. These solutions gave rise to new problems which we will discuss. This report is divided into three sections: differentiable manifolds, almostcomplex manifolds, complex manifolds. The last part contains also the problems on algebraic varieties. Since some problems of the first two sections were motivated by theorems on algebraic varieties, there are occasional references in Sections 1 and 2 to Section 3.1. The author wishes to thank Professors K. Kodaira and D. C. Spencer heartily for many discussions and valuable suggestions during the period of preparation of this report.