Editing Groupoid (section)

==== Quotient variety ====
Any finite group <math>
G
</math> that maps to <math>
GL(n)
</math> gives a group action on the [[affine space]] <math>
\mathbb{A}^n
</math> (since this is the group of automorphisms). Then, a quotient groupoid can be of the form {{tmath|1= [\mathbb{A}^n/G] }}, which has one point with stabilizer <math> G </math> at the origin. Examples like these form the basis for the theory of [[orbifold]]s. Another commonly studied family of orbifolds are [[weighted projective space]]s <math>\mathbb{P}(n_1,\ldots, n_k)</math> and subspaces of them, such as [[Calabi–Yau manifold|Calabi–Yau orbifold]]s.