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The Complex Hyperbolic Geometry of the Moduli Space of Cubic Surfaces
Daniel Allcock, James A. Carlson, Domingo Toledo
Recall that the moduli space of smooth (that is, stable) cubic curves is isomorphic to the quotient of the upper half plane by the group of fractional linear transformations with i…
math.AG2000
Cubic Surfaces and Borcherds Products
Daniel Allcock, Eberhard Freitag
The moduli space of cubic surfaces in complex projective space is known to be isomorphic to the quotient of the complex 4-ball by a certain arithmetic group. We apply Borcherds' te…