تقرير
Ordinarity of Local Galois Representation Arising from Dwork Motives
| العنوان: | Ordinarity of Local Galois Representation Arising from Dwork Motives |
|---|---|
| المؤلفون: | Qian, Lie |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Algebraic Geometry |
| الوصف: | In this paper, we prove that for suitably chosen Dwork motives, the local Galois representation arising from middle cohomology of fibers over a point with $p$-adic valuation $<0$ on the base is regular and ordinary. The result will be crucial in the forthcoming work Potential Automorphy for $GL_n$. The proof consists of the construction of a semistable blowup and a use of Hyodo-Kato's log crystalline cohomology theory. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2103.00106 |
| رقم الأكسشن: | edsarx.2103.00106 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |