Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces
arXiv:1301.2870
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.
arXiv comment12 pages