Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits

Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

doi:10.1090/S1056-3911-2013-00629-3

Authors: Kazuya Kato, Chikara Nakayama and Sampei Usui
Journal: J. Algebraic Geom. 22 (2013), 671-772
DOI: https://doi.org/10.1090/S1056-3911-2013-00629-3
Published electronically: May 20, 2013
MathSciNet review: 3084721
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Abstract | References | Additional Information

Abstract: We construct 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 construct them as the spaces of nilpotent orbits.

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Additional Information

Kazuya Kato
Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
Email: kkato@math.uchicago.edu

Chikara Nakayama
Affiliation: Department of Economics, Hitotsubashi University, Kunitachi, Tokyo, 186-8601, Japan
Email: c.nakayam@r.hit.u.ac.jp

Sampei Usui
Affiliation: Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan
Email: usui@math.sci.osaka-u.ac.jp

Received by editor(s): November 2, 2010
Received by editor(s) in revised form: December 2, 2011, and August 9, 2012
Published electronically: May 20, 2013
Additional Notes: The first author was partially supported by NFS grant DMS 1001729. The second author was partially supported by JSPS. KAKENHI (C) No. 18540017, (C) No. 22540011. The third author was partially supported by JSPS. KAKENHI (B) No. 19340008, (B) No. 23340008.
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