Naive boundary strata and nilpotent orbits

DOI10.5802/aif.2923zbMath1327.14056arXiv1307.7945OpenAlexW2963638909MaRDI QIDQ486854

Matthew Kerr, Gregory J. Pearlstein

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7945

zbMATH Keywords

Shimura varietiesnilpotent orbitsvariation of Hodge structureMumford-Tate domainsMumford-Tate groups

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Homogeneous complex manifolds (32M10) Lie algebras of linear algebraic groups (17B45) Linear algebraic groups and related topics (20G99)

Related Items (7)

Boundary components of Mumford-Tate domains ⋮ Variations of Hodge structure and orbits in flag varieties ⋮ Algebraic and Arithmetic Properties of Period Maps ⋮ Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces ⋮ Classification of horizontal s ⋮ Asymptotics of degenerations of mixed Hodge structures ⋮ Polarized relations on horizontal \(\operatorname{SL}(2)\)'s

Uses Software

• Atlas of Lie Groups

Cites Work

• Boundary components of Mumford-Tate domains
• Cycle spaces of flag domains. A complex geometric viewpoint
• The Bruhat order on symmetric varieties
• Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure
• Closure relations for orbits on affine symmetric spaces under the action of parabolic subgroups. Intersections of associated orbits
• Variation of Hodge structure: The singularities of the period mapping
• Variations of mixed Hodge structure, Higgs fields, and quantum cohomology
• Degeneration of Hodge structures
• Schubert varieties as variations of Hodge structure
• Groupes reductifs
• Mumford-Tate Groups and Domains
• Guide to the Atlas Software: Computational Representation Theory of Real Reductive Groups
• Algorithms for representation theory of real reductive groups
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• cohomologie automorphe et compactifications partielles de certaines variétés de griffiths–schmid
• Lie groups beyond an introduction
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