On the Abelian fivefolds attached to cubic surfaces
On the Abelian fivefolds attached to cubic surfaces
To a family of smooth projective cubic surfaces one can canonically associate a family of abelian fivefolds.In characteristic zero, we calculate the Hodge groups of the abelian varieties which arise in this way.In arbitrary characteristic we calculate the monodromy group of the universal family of abelian varieties, and thus show …