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arXiv · 1210.5301

Boundary Components of Mumford-Tate Domains

Matt Kerr·Gregory Pearlstein
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Abstract

We study certain spaces of nilpotent orbits in Hodge domains, and 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. We conclude with two applications to variations of Hodge structure.

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Matt Kerr, Gregory Pearlstein. 2012-10-19. Boundary Components of Mumford-Tate Domains. https://doi.org/10.1215/00127094-3167059

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