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If we have a finite (possibly ramified) map of Dedekind domains $f:D\to D'$ and a finite type affine $D'$-scheme $X'$ is there a functorial way to produce a finite type affine $D$-scheme $X$ that behaves similarly to Weil restriction?

If we have a finite map of Dedekind domains $f:D\to D'$ and a finite type affine $D'$-scheme $X'$ is there a functorial way to produce a finite type affine $D$-scheme $X$ that behaves similarly to Weil restriction?

If we have a finite (possibly ramified) map of Dedekind domains $f:D\to D'$ and a finite type affine $D'$-scheme $X'$ is there a functorial way to produce a finite type affine $D$-scheme $X$ that behaves similarly to Weil restriction?

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Weil restriction over integers

If we have a finite map of Dedekind domains $f:D\to D'$ and a finite type affine $D'$-scheme $X'$ is there a functorial way to produce a finite type affine $D$-scheme $X$ that behaves similarly to Weil restriction?