Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits
Algebraic Geometry
2015-01-14 v1
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.
Cite
@article{arxiv.1011.4347,
title = {Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits},
author = {Kazuya Kato and Chikara Nakayama and Sampei Usui},
journal= {arXiv preprint arXiv:1011.4347},
year = {2015}
}