An affine open covering of ${\mathcal{M}}_g$ for $g\le 5$

Claudio Fontanari, Stefano Pascolutti

We prove that the moduli space ${\mathcal{M}}_g$ of smooth curves of genus $g$ is the union of $g-1$ affine open subsets for every $g$ with $2\le g\le 5$, as predicted by an intrig…