Nagata's embedding theorem

Details Nagata's embedding theorem Nagata's embedding theorem

2007-06-13

arxiv.org/abs/0706.1907v1

Mathematics

Algebraic Geometry

amstex, 19 pages

Scientific paper

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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