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Classification of horizontal $\text{SL}(2)$s

Part of: Deformations of analytic structures Lie algebras and Lie superalgebras Families, fibrations General theory of differentiable manifolds

Published online by Cambridge University Press:  07 December 2015

Colleen Robles
Colleen Robles*
Affiliation:
Mathematics Department, Duke University, Box 90320, Durham, NC 27708-0320, USA email robles@math.duke.edu
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Abstract

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We classify the horizontal $\text{SL}(2)$s and $\mathbb{R}$-split polarized mixed Hodge structures on a Mumford–Tate domain.

Keywords

horizontal SL(2)nilpotent orbitpolarized mixed Hodge structureHodge–Tate degeneration

MSC classification

Primary: 14D07: Variation of Hodge structures 32G20: Period matrices, variation of Hodge structure; degenerations 17B08: Coadjoint orbits; nilpotent varieties 58A14: Hodge theory
Type
Research Article
Information
Compositio Mathematica , Volume 152 , Issue 5 , May 2016 , pp. 918 - 954
Copyright
© The Author 2015 

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