تقرير
Divisibility of mod $p$ automorphic forms and the cone conjecture for certain Shimura varieties of Hodge-type
| العنوان: | Divisibility of mod $p$ automorphic forms and the cone conjecture for certain Shimura varieties of Hodge-type |
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| المؤلفون: | Goldring, Wushi, Koskivirta, Jean-Stefan |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Algebraic Geometry |
| الوصف: | For several Hodge-type Shimura varieties of good reduction in characteristic $p$, we show that the cone of weights of automorphic forms is encoded by the stack of $G$-zips of Pink-Wedhorn-Ziegler. This establishes several instances of a general conjecture formulated in previous papers by the authors. Furthermore, we prove in these cases that any mod $p$ automorphic form whose weight lies in a specific region of the weight space is divisible by a partial Hasse invariant. This generalizes to other Shimura varieties previous results of Diamond--Kassaei on Hilbert modular forms. Comment: Updated version will be uploaded soon |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2211.16817 |
| رقم الأكسشن: | edsarx.2211.16817 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |