Universality of the category of schemes
Algebraic Geometry
2012-06-12 v3 Category Theory
Abstract
In this paper, we generalize the construction method of schemes to other algebraic categories, and show that the category of coherent schemes can be characterized by a universal property, if we fix the class of Grothendieck topology. Also, we introduce the notion of -schemes, which is a further generalization of coherent schemes and still shares common properties with ordinary schemes.
Cite
@article{arxiv.1202.5085,
title = {Universality of the category of schemes},
author = {Satoshi Takagi},
journal= {arXiv preprint arXiv:1202.5085},
year = {2012}
}
Comments
37 pages, revised June. 10, 2012