25 citations · 41 across the 9 of their papers we have counts for
9 papers
Non-geodesic variations of Hodge structure of maximum dimension
James A. Carlson, Domingo Toledo
There are a number of examples of variations of Hodge structure of maximum dimension. However, to our knowledge, those that are global on the level of the period domain are totally…
Cubic Surfaces with Special Periods
James A. Carlson, Domingo Toledo
We show that the vector of period ratios of a cubic surface is rational over , where if and only if the associate abelian variety is isogeneous to a product…
Hyperbolic geometry and moduli of real cubic surfaces
Daniel Allcock, James A. Carlson, Domingo Toledo
Let M_0^R be the moduli space of smooth real cubic surfaces. We show that each of its components admits a real hyperbolic structure. More precisely, one can remove some lower-dimen…
The Moduli Space of Cubic Threefolds as a Ball Quotient
Daniel Allcock, James A. Carlson, Domingo Toledo
The moduli space of cubic threefolds in CP4, with some minor birational modifications, is the Baily-Borel compactification of the quotient of the complex 10-ball by a discrete grou…
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…
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…