Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures
type: Item
instance of: scholarly article
title: Complex structures on partial compactifications of arithmetic quotients of classifying spaces of Hodge structures
zbMATH Open document ID: 0836.32007
author: Sampei Usui
published in: Tôhoku Mathematical Journal. Second Series
publication date: 1995-12-03T00:00:00Z
review text: We construct partial compactification of arithmetic quotients of the classifying spaces of polarized Hodge structures of general weight by adding the restrictions of the `tamest' nilpotent orbits to the invariant cycles, and introduce complex structures on them. We prove holomorphic extendability of period maps from a puctured disc whose monodromy logarithm satisfies a certain property. We also examine some geometric examples which can be settled within the present framework.
Mathematics Subject Classification ID: 32G20
Mathematics Subject Classification ID: 32J05
Mathematics Subject Classification ID: 14C30
zbMATH DE Number: 822826
zbMATH Keywords: compactification of arithmetic quotients
zbMATH Keywords: polarized Hodge structures
zbMATH Keywords: complex structures
zbMATH Keywords: extendability of period maps
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1178225524
OpenAlex ID: W2014764311
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DOI: 10.2748/TMJ/1178225524
description: scientific article; zbMATH DE number 822826