In algebraic geometry, an affine GIT quotient, or affine geometric invariant theory quotient, of an affine scheme X = Spec A {\displaystyle X=\operatorname {Spec} A} with an action by a group scheme G is the affine scheme Spec ( A G ) {\displaystyle \operatorname {Spec} (A^{G})} , the prime spectrum of the ring of invariants of A, and is denoted by X / / G {\displaystyle X/\! /G} . A GIT quotient is a categorical quotient: any invariant morphism uniquely factors through it.
In algebraic geometry, an affine GIT quotient, or affine geometric invariant theory quotient, of an affine scheme X = Spec A {\displaystyle X=\operatorname {Spec} A} with an action by a group scheme G is the affine scheme Spec ( A G ) {\displaystyle \operatorname {Spec} (A^{G})} , the prime spectrum of the ring of invariants of A, and is denoted by X / / G {\displaystyle X/\! /G} . A GIT quotient is a categorical quotient: any invariant morphism uniquely factors through it.
Source: Wikipedia "GIT quotient" · CC BY-SA 4.0
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