The Stacks project

Remark 111.16.4. This is the Hilbert Nullstellensatz. Namely it says that the closed subsets of $\mathop{\mathrm{Spec}}(k[x_1, \ldots , x_ n])$ (which correspond to radical ideals by a previous exercise) are determined by the closed points contained in them.

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View Remark 111.16.4 as pdf