A schema whose underlying space is the product of the underlying spaces of the schemas


We know that the product of two spectral topological spaces is spectral.

  • Yes $ X $ is the underlying space of the schema $ mathrm {Spec} , mathbb {Z}[x]$, what is a simple example of an affine scheme whose underlying space is $ X times X $?
  • Yes $ X $ is the underlying space of the schema $ mathrm {Spec} , mathbb {C}[x]$, what is a simple example of an affine scheme whose underlying space is $ X times X $?