A -adic monodromy theorem for de Rham local systems
| العنوان: | A -adic monodromy theorem for de Rham local systems |
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| المؤلفون: | Koji Shimizu |
| المصدر: | Compositio Mathematica. 158:2157-2205 |
| بيانات النشر: | Wiley, 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Algebra and Number Theory |
| الوصف: | We study horizontal semistable and horizontal de Rham representations of the absolute Galois group of a certain smooth affinoid over a $p$-adic field. In particular, we prove that a horizontal de Rham representation becomes horizontal semistable after a finite extension of the base field. As an application, we show that every de Rham local system on a smooth rigid analytic variety becomes horizontal semistable étale locally around every classical point. We also discuss potentially crystalline loci of de Rham local systems and cohomologically potentially good reduction loci of smooth proper morphisms. |
| تدمد: | 1570-5846 0010-437X |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::b115d9b04d0175a3272979569a6125a6 https://doi.org/10.1112/s0010437x2200776x |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........b115d9b04d0175a3272979569a6125a6 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15705846 0010437X |
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