What is the least degree polynomial in $\Bbb F_q[x,y]$ that vanishes only at $(0,0)$, $(1,2)$, $(2,4)$, $(3,1)$ and $(4,3)$ where prime $q$ may be different from prime $5$? What happens $\Bbb F_q$ is replaced by $\Bbb R$?
2026-04-04 16:06:59.1775318819
Minimal $\Bbb F_q[x,y]$ polynomial with some local properties.
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