2 problems

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.

Xiao–Reid's Morsification conjecture. There exists a moduli stack $\mathcal{M}^{\star}_{g}$ of curves which contains all good smoothable curves of genus $g$ as geometric points suc…