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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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Are there analogies between $\Bbb F_q[x_1,x_2]$ and a suitable object related to $\Bbb Z$?

In the sense that $\mathbb{F}_q[x_1,x_2]\simeq \mathbb{F}_q[x_1]\otimes_{\mathbb{F}_q}\mathbb{F}_q[x_2]$, the analogous $\mathbb{Z}$-like object is $\mathbb{Z}\otimes_{\mathbb{F}_1}\mathbb{Z}$, which …
Espen Nielsen's user avatar