A-schemes and Zariski-Riemann spaces
Algebraic Geometry
2011-10-25 v5
Abstract
In this paper, we will investigate further properties of A-schemes. The category of A-schemes possesses many properties of the category of coherent schemes, and in addition, it is co-complete and complete. There is the universal compactification, namely, the Zariski-Riemann space in the category of A-schemes. We compare it with the conventional Zariski-Riemann space, and characterize the latter by a left adjoint.
Cite
@article{arxiv.1101.2796,
title = {A-schemes and Zariski-Riemann spaces},
author = {Satoshi Takagi},
journal= {arXiv preprint arXiv:1101.2796},
year = {2011}
}
Comments
50 pages, revised 2011 Oct. 24