تقرير
Semisimplicity and weight-monodromy for fundamental groups
| العنوان: | Semisimplicity and weight-monodromy for fundamental groups |
|---|---|
| المؤلفون: | Betts, L. Alexander, Litt, Daniel |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - Algebraic Geometry |
| الوصف: | Let X be a smooth, geometrically connected variety over a p-adic local field. We show that the pro-unipotent fundamental group of X (in both the etale and crystalline settings) satisfies the weight-monodromy conjecture, following Vologodsky. We deduce (in the etale setting) that Frobenii act semisimply on the Lie algebra of the pro-unipotent fundamental group of X, and (in the crystalline setting) that the same is true for a K-linear power of the crystalline Frobenius. We give applications to the representability and geometry of the Selmer varieties appearing in the Chabauty-Kim program, even in cases of bad reduction. Comment: Updated in response to referee report; comments welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1912.02167 |
| رقم الأكسشن: | edsarx.1912.02167 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |