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

Mathematics – Algebraic Geometry

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Scientific paper

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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