The moduli space of Hessian quartic surfaces and automorphic forms

Mathematics – Algebraic Geometry

Scientific paper

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10 pages

Scientific paper

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.

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