We study certain spaces of nilpotent orbits in Hodge domains, and we treat a number of examples. More precisely, we compute the Mumford–Tate group of the limit mixed Hodge structure of a generic such orbit. The result is used to present these spaces as iteratively fibered algebraic-group orbits in a minimal way.
"Boundary components of Mumford–Tate domains." Duke Math. J. 165 (4) 661 - 721, 15 March 2016. https://doi.org/10.1215/00127094-3167059