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arXiv · 1011.4353

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

Kazuya Kato·Chikara Nakayama·Sampei Usui
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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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Kazuya Kato, Chikara Nakayama, Sampei Usui. 2010-11-19. Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits. https://arxiv.org/abs/1011.4353

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