English

Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces

Algebraic Geometry 2014-03-04 v4

Abstract

We construct fans which give Kato-Usui partial compactifications of period domains of weight -1. Similarly to the fans of toroidal compactifications, these fans are given by polyhedral decompositions. We also show a fibration structure for some kind of Kato-Usui boundary components.

Keywords

Cite

@article{arxiv.1301.2870,
  title  = {Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces},
  author = {Tatsuki Hayama},
  journal= {arXiv preprint arXiv:1301.2870},
  year   = {2014}
}

Comments

12 pages