Nagata embedding and A-schemes

Details Nagata embedding and A-schemes Nagata embedding and A-schemes

2011-07-18

arxiv.org/abs/1107.3414v2

Mathematics

Algebraic Geometry

14 pages, 6/10/2011 revised

Scientific paper

We define the notion of normal A-schemes, and approximable A-schemes. Approximable A-schemes inherit many good properties of ordinary schemes. As a consequence, we see that the Zariski-Riemann space can be regarded in two ways -- either as the limit space of admissible blow ups, or as the universal compactification of the given non-proper scheme. We can prove Nagata embedding using Zariski-Riemann spaces.

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