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Creators/Authors contains: "Fougeron, Charles"

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  1. ; (, Geometriae Dedicata)
    We exhibit an infinite family of discrete subgroups of Sp4 (R) which have a number of remarkable properties. Our results are established by showing that each group plays ping-pong on an appropriate set of cones. The groups arise as the monodromy of hypergeometric differential equations. Additionally, we relate the cones used for ping-pong in R4 with crooked surfaces, which we then use to exhibit domains of discontinuity for the monodromy groups in the Lagrangian Grassmannian. These domains of discontinuity lead to uniformizations of variations of Hodge structure with Hodge numbers (1, 1, 1, 1). 
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