Nagata embedding and A-schemes

Satoshi Takagi

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arXiv · 1107.3414

Nagata embedding and A-schemes

Satoshi Takagi

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Abstract

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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Satoshi Takagi. 2011-10-06. Nagata embedding and A-schemes. https://arxiv.org/abs/1107.3414

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