Let K {\displaystyle {}K} be a field, and let F ∈ K [ X 1 , … , X n ] {\displaystyle {}F\in K[X_{1},\ldots ,X_{n}]} denote a polynomial in n {\displaystyle {}n} Variables. The set
is called the vanishing set (or zero set) of F {\displaystyle {}F} .
![{\displaystyle {}F\in K[X_{1},\ldots ,X_{n}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/eb9907eef7712dd23f5765db372457691aa7d626)
