Ferrand's pushouts for algebraic spaces
Algebraic Geometry
2016-05-30 v3
Abstract
We extend Ferrand's results about pushouts of schemes to the category of algebraic spaces. We call the corresponding class of pushouts Ferrand's pushouts. They will be used in our sequel works to extend the notions of valuation rings and Riemann-Zariski spaces to the category of algebraic spaces, and to obtain a new proof of Nagata's compactification theorem for algebraic spaces.
Cite
@article{arxiv.1305.6014,
title = {Ferrand's pushouts for algebraic spaces},
author = {Michael Temkin and Ilya Tyomkin},
journal= {arXiv preprint arXiv:1305.6014},
year = {2016}
}
Comments
20 pages