Boundary Components of Mumford-Tate Domains
Algebraic Geometry
2016-03-23 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.1210.5301,
title = {Boundary Components of Mumford-Tate Domains},
author = {Matt Kerr and Gregory Pearlstein},
journal= {arXiv preprint arXiv:1210.5301},
year = {2016}
}
Comments
58 pages, 22 figures; final version, to appear in Duke Math. J.; section 6 substantially expanded