تقرير
Space of nilpotent orbits and extension of period maps (I): The weight 3 Calabi-Yau types
| العنوان: | Space of nilpotent orbits and extension of period maps (I): The weight 3 Calabi-Yau types |
|---|---|
| المؤلفون: | Deng, Haohua |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Combinatorics, Mathematics - Differential Geometry, Mathematics - Representation Theory, 14D06, 14D07, 14L35, 32G20 |
| الوصف: | In Kato-Nakayama-Usui's theory, a certain space of nilpotent orbits can be constructed and serve as a completion of a given period map. This can be regarded as a generalization of Mumford's toroidal compactification for locally symmetric varieties. Kato-Nakayama-Usui's construction requires the existence of a weak fan, which is not known in general for non-classical cases. In this paper, we show after some slight modifications, such weak fans exist for a large class of period maps of weight 3 Calabi-Yau type. In particular, for these cases a Kato-Nakayama-Usui type completion can be constructed. Comment: 50 pages. Comments welcome. The first paper in a series. Some structural changes and corrections in v2 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2306.11254 |
| رقم الأكسشن: | edsarx.2306.11254 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |