5 problems

Let $n$ be a positive integer and let $\frac{1}{n}+\frac{}{}\epsilon$ be the common weight on $2n$ marked points, with the weighted moduli space…

Faber–Pandharipande conjecture.

Let $\mathcal{M}_{g,n}^r$ denote the moduli stack of $A_r$-stable curves. In the setting of topological moduli spaces, suppose that the relevant properties are expressed by $M$-sep…

Xiao–Reid's Morsification conjecture. A fiber germ $f^{-1}(p)$ is atomic if and only if it is a stable curve with one node or a multiple of a smooth curve.

Let $\overline{\mathcal M}_{2,2}$ be the moduli space of stable genus-two curves with two markings, let $\overline{\mathcal M}_{2,2}^{(1)}$ be the proposed moduli space of $1$-stab…