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

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.

Cited by in corpus (1)

• Analyticity of the closures of some Hodge theoretic subspaces