English

Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits

Algebraic Geometry 2010-11-22 v1

Abstract

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 with polarized graded quotients. We construct them as the spaces of nilpotent orbits.

Keywords

Cite

@article{arxiv.1011.4353,
  title  = {Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits},
  author = {Kazuya Kato and Chikara Nakayama and Sampei Usui},
  journal= {arXiv preprint arXiv:1011.4353},
  year   = {2010}
}