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Examples of $ \operatorname{Spec}A$

  1. $ \operatorname{Spec}(\mathbb{Z})=\{(0)\} \cup \{ (p)\vert p :$ prime $ \} $ .
  2. $ \operatorname{Spec}(\mathbbm{k}[X])=\{(0)\} \cup \{(p)\vert p:$    irreducible polynomial$ \} $ .
  3. $ \operatorname{Spec}(\mathbb{C}[X,Y])=\{(0)\} \cup \{(p)\vert p:$    irreducible polynomial$ \} $ $ \cup \{(X-a,Y-b)\vert a,b \in \mathbb{C}\}.$


2017-07-21