On relative birational geometry and nagata's compactification for algebraic spaces

Michael Temkin; Ilya Tyomkin

doi:10.1093/imrn/rnw339

On relative birational geometry and nagata's compactification for algebraic spaces

Michael Temkin, Ilya Tyomkin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In [17], the first author introduced (relative) Riemann-Zariski spaces corresponding to a morphism of schemes and established their basic properties. In this article, 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.

Original language	English
Pages (from-to)	3342-3387
Number of pages	46
Journal	International Mathematics Research Notices
Volume	2018
Issue number	11
DOIs	https://doi.org/10.1093/imrn/rnw339
State	Published - 1 Jun 2018

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© The Author(s) 2017.

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On relative birational geometry and nagata's compactification for algebraic spaces

Abstract

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