Exercise 111.6.3. Prove that the map $I\mapsto V(I)$ defines a natural bijection
\[ \{ I\subset A\text{ with }I = \sqrt{I}\} \longrightarrow \{ T\subset \mathop{\mathrm{Spec}}(A)\text{ closed}\} \]
Exercise 111.6.3. Prove that the map $I\mapsto V(I)$ defines a natural bijection
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