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

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

2010-11-19

arxiv.org/abs/1011.4347v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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