Boundary components of Mumford-Tate domains

DOI10.1215/00127094-3167059zbMath1375.14045arXiv1210.5301OpenAlexW1624819923MaRDI QIDQ272929

Gregory J. Pearlstein, Matthew Kerr

Publication date: 21 April 2016

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5301

zbMATH Keywords

Mumford-Tate groupboundary componentCM abelian varietyKato-Usui spacelimit mixed Hodge structureMumford-Tate domain

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Period matrices, variation of Hodge structure; degenerations (32G20) Local ground fields in algebraic geometry (14G20) 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 (10)

Variations of Hodge structure and orbits in flag varieties ⋮ Algebraic and Arithmetic Properties of Period Maps ⋮ Extension of period maps by polyhedral fans ⋮ Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces ⋮ Naive boundary strata and nilpotent orbits ⋮ Jumps in the Archimedean height ⋮ Height functions for motives. II ⋮ On the boundary of moduli spaces of log Hodge structures, II: nontrivial torsors ⋮ Polarized relations on horizontal \(\operatorname{SL}(2)\)'s ⋮ Unnamed Item

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