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: We find the uniformizing equation, governing the developing map, of a complexhyperbolic structure on the(4-dimensional) moduli space of marked cubic surfaces. Ourequation is invariant under the action of the Weyl group of type E 6Keywords: uniformizing differential equation, cubic surface, moduli space, Schwarzianderivative, complex hyperbolic structure, developing map, Weyl group0. IntroductionFor any hermitian locally symmetric space M , itsdeveloping map f from M to the model...

The uniformizing differential equation of the complex hyperbolic structure on the moduli space of marked cubic surfaces