On relative birational geometry and Nagata's compactification for algebraic spaces Academic Article uri icon


  • In, 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.

publication date

  • January 1, 2017