2 problems

Let $m\geq 1$. For a smooth curve $(C,x_1,\ldots,x_{n+m})$ with markings, let $r$ be a positive integer and let $L$ satisfy … Let $\overline{\mathcal{M}}_{g,Z-P}^{1/r}$ be the comp…

Let $r$ be a positive integer. For integers $k_1,\dots,k_n$, write … where $p_i$ is the quotient and $r-1-a_i$ is the remainder on division by $r$, and set … Let…