CUBIC SURFACES AND BORCHERDS PRODUCTS
DANIEL ALLCOCK AND EBERHARD FREITAG
Abstract.We apply Borcherds' methods for constructing automorphic forms
to embed the moduli space M of marked complex cubic surfaces into CP9.
Specifically, we construct 270 automorphic forms on the complex 4-ball B*
automorphic with respect to a particular discrete group . We use the id*
fication from [ACT2 ] of M with the Baily-Borel compactification of B4= *
forms span a 10-dimensional space, and we exhibit the image of M in CP9 *