Moduli of log mixed Hodge structures

We announce the construction of toroidal partial compactifications of the moduli spaces of mixed Hodge structures with polarized graded quotients. They are moduli spaces of log mixed Hodge structures with polarized graded quotients. We include an application to the analyticity of zero loci of normal...

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Bibliographic Details
Published inProceedings of the Japan Academy. Series A. Mathematical sciences Vol. 86; no. 7; pp. 107 - 112
Main Authors Kato, Kazuya, Nakayama, Chikara, Usui, Sampei
Format Journal Article
LanguageEnglish
Published The Japan Academy 01.07.2010
Subjects
14C30
14D07
32G20
admissible normal function
Griffiths domain
Hodge theory
log geometry
log mixed Hodge structure
toroidal compactification
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ISSN0386-2194
DOI10.3792/pjaa.86.107

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Summary:We announce the construction of toroidal partial compactifications of the moduli spaces of mixed Hodge structures with polarized graded quotients. They are moduli spaces of log mixed Hodge structures with polarized graded quotients. We include an application to the analyticity of zero loci of normal functions.
ISSN:0386-2194
DOI:10.3792/pjaa.86.107