On relative birational geometry and Nagata's compactification
Algebraic Geometry
2016-05-30 v2
Abstract
In 2011, the first author introduced (relative) Riemann-Zariski spaces corresponding to a morphism of schemes and established their basic properties. In this paper we clarify that theory and extend it to morphisms between algebraic spaces. As an application, a new proof of Nagata's compactification theorem for algebraic spaces is obtained.
Cite
@article{arxiv.1311.6308,
title = {On relative birational geometry and Nagata's compactification},
author = {Michael Temkin and Ilya Tyomkin},
journal= {arXiv preprint arXiv:1311.6308},
year = {2016}
}
Comments
28 pages, comments are welcome