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arXiv · 1301.2870

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

Tatsuki Hayama
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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.

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Tatsuki Hayama. 2013-07-18. Kato-Usui partial compactifications over the toroidal compactifications of Siegel spaces. https://arxiv.org/abs/1301.2870

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