تقرير
Ramification of Hilbert eigenvarieties at classical points
| العنوان: | Ramification of Hilbert eigenvarieties at classical points |
|---|---|
| المؤلفون: | Hsu, Chi-Yun |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | Andreatta-Iovita-Pilloni constructed eigenvarieties for cuspidal Hilbert modular forms. The eigenvariety has a natural map to the weight space, called the weight map. At a classical point, we compute a lower bound of the dimension of the tangent space of the fiber of the weight map using Galois deformation theory. Along with the classicality theorem due to Tian-Xiao, this enables us to characterize the classical points of the eigenvariety which are ramified over the weight space, in terms of the local splitting behavior of the associated Galois representation. Comment: 22 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1905.05687 |
| رقم الأكسشن: | edsarx.1905.05687 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |