The ring of evenly weighted points on the line

Milena Hering, Benjamin Howard

Let $M_w = (\Pj^1)^n \q \mathrm{SL}_2$ denote the geometric invariant theory quotient of $(\Pj^1)^n$ by the diagonal action of ${\mathrm{SL}}_2$ using the line bundle $\mathcal{O}(w_…