تقرير
Ordinarity of Local Galois Representation Arising from Dwork Motives
العنوان: | Ordinarity of Local Galois Representation Arising from Dwork Motives |
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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. |