Abstract
We construct an enlargement of the classifying space of mixed Hodge structures with polarized graded quotients by adding mixed Hodge theoretic version of -orbits. This space has a real analytic structure and a log structure with sign. The -orbit theorem in several variables for mixed Hodge structures can be understood naturally with this space.
Citation
Kazuya Kato. Chikara Nakayama. Sampei Usui. "Classifying spaces of degenerating mixed Hodge structures, II: Spaces of -orbits." Kyoto J. Math. 51 (1) 149 - 261, Spring 2011. https://doi.org/10.1215/0023608X-2010-023
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