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arXiv 0706.1907math.AG
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Nagata嵌入定理

Nagata's embedding theorem

Paul Vojta

摘要:

1962-63年,M.永田证明了一个抽象的种类可以嵌入到一个完整的种类中。后来,P. Deligne将Nagata的证明翻译成图式语言,但没有发表他的笔记。本文,这是出现在即将出版的书作为附录,给出了一个阐述德利涅的笔记。它还包含一些补充结果扩展因子和向量层,以适当的完成。

英文摘要:

In 1962-63, M. Nagata showed that an abstract variety could be embedded into a complete variety. Later, P. Deligne translated Nagata's proof into the language of schemes, but did not publish his notes. This paper, which is to appear as an appendix in a forthcoming book, gives an elaboration of Deligne's notes. It also contains some complementary results on extending divisors and vector sheaves to suitable completions.

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