The Mori fan of the Dolgachev-Nikulin-Voisin family in genus $2$

Abstract

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.

Keywords

• mathematics - algebraic geometry
• 14d20, 14j33, 14e30