Note on abelian schemes of level three (Q1263634)

In the paper under review a birational morphism of the Faltings compactified moduli space \(A_ 2(3)\) (principally polarized abelian surfaces with level 3 structure) onto a singular quartic in \({\mathbb{P}}^ 4\) is constructed in explicit form. 45 surfaces, which are isomorphic to \({\mathbb{P}}^ 1\times {\mathbb{P}}^ 1\) and correspond to abelian surfaces decomposable as a product (and nothing more) are contracted to points by this morphism.