A numerical criterion for admissibility of semi-simple elements

DOI10.2748/tmj/1178225841zbMath0791.32009OpenAlexW2055044493MaRDI QIDQ1319188

Sampei Usui

Publication date: 12 April 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225841

zbMATH Keywords

admissibilityclassifying spaces for Hodge structureshorizontal SL(2)-representationslimiting split mixed Hodge structuressemi-simple elements

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (4)

Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures ⋮ Classification of horizontal s ⋮ Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits ⋮ Polarized relations on horizontal \(\operatorname{SL}(2)\)'s

Cites Work

• Extension of period mappings for Hodge structures of weight two
• Variation of Hodge structure: The singularities of the period mapping
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