Classifying spaces of degenerating mixed Hodge structures, II: Spaces of $\operatorname{SL}(2)$ -orbits
Kato, Kazuya ; Nakayama, Chikara ; Usui, Sampei
Kyoto J. Math., Tome 51 (2011) no. 1, p. 149-261 / Harvested from Project Euclid
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We construct an enlargement of the classifying space of mixed Hodge structures with polarized graded quotients by adding mixed Hodge theoretic version of $\operatorname{SL}(2)$ -orbits. This space has a real analytic structure and a log structure with sign. The $\operatorname{SL}(2)$ -orbit theorem in several variables for mixed Hodge structures can be understood naturally with this space.
Publié le : 2011-05-15
Classification:  14C30,  14D07,  32G20 
@article{1298669428,
     author = {Kato, Kazuya and Nakayama, Chikara and Usui, Sampei},
     title = {Classifying spaces of degenerating mixed Hodge structures, II: Spaces of $\operatorname{SL}(2)$ -orbits},
     journal = {Kyoto J. Math.},
     volume = {51},
     number = {1},
     year = {2011},
     pages = { 149-261},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1298669428}
}

Kato, Kazuya; Nakayama, Chikara; Usui, Sampei. Classifying spaces of degenerating mixed Hodge structures, II: Spaces of $\operatorname{SL}(2)$ -orbits. Kyoto J. Math., Tome 51 (2011) no. 1, pp.  149-261. http://gdmltest.u-ga.fr/item/1298669428/