After a general discussion of group actions, orbifolds, and "weak orbifolds" this note will provide elementary introductions to two basic moduli spaces over the real or complex numbers: First the moduli space of effective divisors with finite stabilizer on the projective space ${ \mathbb P}^1$ modulo the group ${ \rm PGL}_2$ of projective transformations of ${ \mathbb P}^1$; and then the moduli space of effective 1-cycles with finite stabilizer on ${ \mathbb P}^2$ modulo the group ${ \rm PGL}_3$ of projective transformations of ${ \mathbb P}^2$.
Categories: math.AG