We shall show the existence of 15 automorphic forms of weight 8 on the moduli space of marked Hessian quartic surfaces of cubic surfaces. These automorphic forms can be interpreted in terms of the coefficients of the Sylvester form of a general cubic surface.
The moduli space of 8 points on ${\bf P}^1$ and automorphic forms
Hessians and the moduli space of cubic surfaces
The Kodaira dimension of certain moduli spaces of abelian surfaces
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