Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures

DOI10.2748/tmj/1178225524zbMath0836.32007OpenAlexW2014764311MaRDI QIDQ1902884

Sampei Usui

Publication date: 3 December 1995

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

Full work available at URL: https://doi.org/10.2748/tmj/1178225524

zbMATH Keywords

polarized Hodge structurescomplex structurescompactification of arithmetic quotientsextendability of period maps

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Compactification of analytic spaces (32J05)

Related Items (2)

\(p\)-adic period domains and toroidal partial compactifications. I ⋮ On the boundary of moduli spaces of log Hodge structures, II: nontrivial torsors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure
• Examples of degenerations of Castelnuovo surfaces
• Algebraic surfaces of general type with small \(c^2_1\). II
• Degeneration of Kähler manifolds
• Extension of period mappings for Hodge structures of weight two
• A numerical criterion for admissibility of semi-simple elements
• Variation of Hodge structure: The singularities of the period mapping
• On compactifications of the quotient spaces for arithmetically defined discontinuous groups
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems

This page was built for publication: Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures