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Next: Further properties of Up: Congruent zeta functions. No.3.03 Previous: Algebraic geometry and Ring

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$\} $ $\cup \{(X-a,Y-b)\vert a,b \in \mathbb{C}\}.$