摘要翻译:
1962-1963年,永田(M.Nagata)指出,一个抽象的变体可以嵌入到一个完整的变体中。后来P.Deligne将Nagata的证明翻译成方案语言,但没有发表他的笔记。这篇论文将作为附录出现在一本即将出版的书中,对德利涅的笔记进行了详细的阐述。它还包含了一些关于将因子和向量轮推广到合适的完形的补充结果。
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英文标题:
《Nagata's embedding theorem》
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作者:
Paul Vojta
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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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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PDF链接:
https://arxiv.org/pdf/0706.1907


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