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

2010/11/19 by Kazuya Kato, Kato, Kazuya, Chikara Nakayama +3 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research #math.AG

paper · pdf · doi:10.48550/arxiv.1011.4353

arxiv created 2010/11/19 · arxiv updated 2010/11/22

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

• Logarithmic geometry and Frobenius, II
• Period maps at infinity
• On the generalized toroidal completion of period mappings

Related

• Moduli of log mixed Hodge structures
• Degenerations of Mixed Hodge structure
• Nilpotent orbits of a generalization of Hodge structures
• Classifying spaces of degenerating mixed Hodge structures, V: Extended period domains and algebraic groups
• Degenerating complex variations of Hodge structure in dimension one