Nagata embedding and A-schemes
Algebraic Geometry
2011-10-07 v2
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.
Cite
@article{arxiv.1107.3414,
title = {Nagata embedding and A-schemes},
author = {Satoshi Takagi},
journal= {arXiv preprint arXiv:1107.3414},
year = {2011}
}
Comments
14 pages, 6/10/2011 revised