2 problems

Let $\overline{\mathcal{M}}_{g,n}$ be the moduli space of stable $n$-pointed curves of genus $g$, let $NE_1(\overline{\mathcal{M}}_{g,n})$ denote its Mori cone of curves, and let a…

Ample-cone conjecture. If $C$ is a very general curve of genus $g\ge 4$, then