On relative birational geometry and Nagata's compactification

Michael Temkin; Ilya Tyomkin

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arXiv · 1311.6308

On relative birational geometry and Nagata's compactification

Michael Temkin·Ilya Tyomkin

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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.

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Michael Temkin, Ilya Tyomkin. 2013-11-25. On relative birational geometry and Nagata's compactification. https://arxiv.org/abs/1311.6308

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