Let's say a morphism $f:Xto Y$ is compactifiable if it admits a factorization $f = pj$ with $j:Xto P$ an open immersion and $p:Pto Y$ proper.
In SGA 4 Exp. XVII, Deligne says that Nagata proved that any morphism of separated integral northerian schemes is compactifiable but that he didn't understand the proof.
My questions:
- Where can I find a proof of Nagata's theorem?
- What about the complex analytic setting?
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