تقرير
The syntomic regulator for $K_4$ of curves
| العنوان: | The syntomic regulator for $K_4$ of curves |
|---|---|
| المؤلفون: | Besser, Amnon, de Jeu, Rob |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - K-Theory and Homology, 11G55, 14F42, 19E08, 19F27 (Primary) 11G20, 14F30, 19E20 (Secondary) |
| الوصف: | Let $C$ be a curve defined over a discrete valuation field of characteristic zero where the residue field has positive characteristic. Assuming that $C$ has good reduction over the residue field, we compute the syntomic regulator on a certain part of $K_4^[(3)}(C)$. The result can be expressed in terms of $p$-adic polylogarithms and Coleman integration. We also compute the syntomic regulator on a certain part of $K_4^[(3)}(F)$ for the function field $F$ of $C$. The result can be expressed in terms of $p$-adic polylogarithms and Coleman integration, or by using a trilinear map ("triple index") on certain functions. Comment: 61 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1208.0516 |
| رقم الأكسشن: | edsarx.1208.0516 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |