### The Mori fan of the Dolgachev-Nikulin-Voisin family in genus $2$. (arXiv:1911.06862v1 [math.AG])

In this paper we study the Mori fan of the Dolgachev-Nikulin-Voisin family in degree $2$ as well as the associated secondary fan. The main result is an enumeration of all maximal dimensional cones of the two fans.