 In particular, the action sends a tupleformula_135and the quotient of this action gives the weighted projective space formula_136.Since this can instead be taken as a stack quotient, the weighted projective stack pg 30 isformula_137Taking the vanishing locus of a weighted polynomial in a line bundle formula_138 gives a stacky weighted projective variety.Stacky curves, or orbicurves, can be constructed by taking the stack quotient of a morphism of curves by the monodromy group of the cover over the generic points.