The Stacks project

Lemma 67.26.2. The following types of algebraic spaces are Nagata.

1. Any algebraic space locally of finite type over a Nagata scheme.

2. Any algebraic space locally of finite type over a field.

3. Any algebraic space locally of finite type over a Noetherian complete local ring.

4. Any algebraic space locally of finite type over $\mathbf{Z}$.

5. Any algebraic space locally of finite type over a Dedekind ring of characteristic zero.

6. And so on.