Differential Calculus, Holomorphic Maps and Linear Structures on Complex Spaces

Differential Calculus, Holomorphic Maps and Linear Structures on Complex Spaces
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复空间上的微分微积分、全纯映射和线性结构

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发表时间:
1994
期刊:
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通讯作者:
R. Remmert
R. Remmert
中科院分区:
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文献类型:
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作者:
T. Peternell;R. Remmert

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在这一章中,我们尽可能不使用上同调机制来更详细地研究复空间(除了§5中的少数例外)。主要的主题是:微积分,复空间的全纯映射的结构,形式完备化,最后是特殊的复空间类(Cohen-Macaulay)和对偶层。由于这些主题在性质上有很大的不同,我们将分别描述这几个部分。
In this chapter we study complex spaces in greater detail as far as we can go without using the cohomology machinery (with a few exceptions in § 5). The main themes are: differential calculus, structure of holomorphic maps of complex spaces, formal completions and, finally, special classes of complex spaces (Cohen-Macaulay) and dualizing sheaves. Since these subjects are quite different in nature, we describe the sections separately.