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math.AG2005
Generic Integral Manifolds for Weight Two Period Domains
James A. Carlson, Domingo Toledo
We define the notion of a generic integral element for the Griffiths distribution on a weight two period domain, draw the analogy with the classical contact distribution, and then…
math.AG2003
Real Cubic Surfaces and Real Hyperbolic Geometry
Daniel Allcock, James A. Carlson, Domingo Toledo
The moduli space of stable real cubic surfaces is the quotient of real hyperbolic four-space by a discrete, nonarithmetic group. The volume of the moduli space is 37π^2/1080 in the…
math.AG2000
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…