Boundary components of Mumford–Tate domains

Matt Kerr; Gregory Pearlstein

doi:10.1215/00127094-3167059

Abstract

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.

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Matt Kerr. Gregory Pearlstein. "Boundary components of Mumford–Tate domains." Duke Math. J. 165 (4) 661 - 721, 15 March 2016. https://doi.org/10.1215/00127094-3167059

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Received: 9 April 2013; Revised: 7 April 2015; Published: 15 March 2016

First available in Project Euclid: 12 January 2016

zbMATH: 1375.14045

MathSciNet: MR3474815

Digital Object Identifier: 10.1215/00127094-3167059

Subjects:

Primary: 14D07

Secondary: 14M17 , 17B45 , 20G99 , 32G20 , 32M10

Keywords: boundary component , CM abelian variety , Kato–Usui space , limit mixed Hodge structure , Mumford–Tate domain , Mumford–Tate group

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