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math.AG2010★ 1 cited
Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits
Kazuya Kato, Chikara Nakayama, Sampei Usui
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…
math.AG2010★ 22 cited
Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits
Kazuya Kato, Chikara Nakayama, Sampei Usui
We construct an enlargement of the classifying space of mixed Hodge structures with polarized graded quotients, by adding mixed Hodge theoretic version of SL(2)-orbits. This space…