On the unirationality of moduli spaces of pointed curves

Hanieh Keneshlou, Fabio Tanturri

We show that ${\mathcal{M}}_{g,n}$, the moduli space of smooth curves of genus $g$ together with $n$ marked points, is unirational for $g=12$ and $2\le n\le 4$ and for $g=13$ and…