Open Access
July 2010 Moduli of log mixed Hodge structures
Kazuya Kato, Chikara Nakayama, Sampei Usui
Proc. Japan Acad. Ser. A Math. Sci. 86(7): 107-112 (July 2010). DOI: 10.3792/pjaa.86.107

Abstract

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.

Citation

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Kazuya Kato. Chikara Nakayama. Sampei Usui. "Moduli of log mixed Hodge structures." Proc. Japan Acad. Ser. A Math. Sci. 86 (7) 107 - 112, July 2010. https://doi.org/10.3792/pjaa.86.107

Information

Published: July 2010
First available in Project Euclid: 21 July 2010

zbMATH: 1209.14008
MathSciNet: MR2657330
Digital Object Identifier: 10.3792/pjaa.86.107

Subjects:
Primary: 14C30
Secondary: 14D07 , 32G20

Keywords: admissible normal function , Griffiths domain , Hodge theory , log geometry , log mixed Hodge structure , toroidal compactification

Rights: Copyright © 2010 The Japan Academy

Vol.86 • No. 7 • July 2010
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