Abstract
We study certain real Lie-group orbits in the compact duals of Mumford-Tate domains, verifying a prediction made in [Green, Griffiths, Kerr; Mumford-Tate domains: their geometry and arithmetic] and determining which orbits contain a limit point of some period map. A variety of examples are worked out for the groups SU(2,1), Sp_4, and G_2.
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