Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits

Abstract

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 has a real analytic structure and a log structure with sign. The SL(2)-orbit theorem in several variables for mixed Hodge structures can be understood naturally with this space.

References in corpus (1)

• SL_2-orbits and degenerations of mixed Hodge structure

Cited by in corpus (10)

• Jumps in the Archimedean Height
• Classifying spaces of degenerating mixed Hodge structures, IV: The fundamental diagram
• Feynman Amplitudes in Mathematics and Physics
• Heights of mixed motives
• Height functions for motives, II
• Toroidal compactifications of the moduli spaces of Drinfeld modules
• On SL(2)-orbit theorems
• Classifying spaces of degenerating mixed Hodge structures, V: Extended period domains and algebraic groups
• Extended period domains and algebraic groups
• Toroidal compactifications and Borel--Serre compactifications