Birational Spaces
Algebraic Geometry
2013-12-02 v2
Abstract
In this paper we construct the category of birational spaces as the category in which Temkin's relative Riemann-Zariski spaces are naturally included. Furthermore we develop an analogue of Raynaud's theory. We prove that the category of quasi-compact and quasi-separated birational spaces is naturally equivalent to the localization of the category of pairs of quasi-compact and quasi-separated schemes with an affine schematically dominant morphism between them localized with respect to relative blow ups and relative normalizations.
Cite
@article{arxiv.1311.6919,
title = {Birational Spaces},
author = {Uri Brezner},
journal= {arXiv preprint arXiv:1311.6919},
year = {2013}
}