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

Michael Temkin, Ilya Tyomkin

Research output: Contribution to journalArticlepeer-review

1 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 languageEnglish
Pages (from-to)3342-3387
Number of pages46
JournalInternational Mathematics Research Notices
Volume2018
Issue number11
DOIs
StatePublished - 1 Jun 2018

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