Nagata compactification for algebraic spaces

Details Nagata compactification for algebraic spaces Nagata compactification for algebraic spaces

2009-10-26

arxiv.org/abs/0910.5008v2

Mathematics

Algebraic Geometry

49 pages, various clarifications and bugfixes

Scientific paper

We prove the Nagata compactification theorem for any separated map of finite
type between quasi-compact and quasi-separated algebraic spaces, generalizing
earlier results of Raoult. Along the way we also prove (and use) absolute
noetherian approximation for such algebraic spaces, generalizing earlier
results in the case of schemes.

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