论文标题
正式Drinfeld模块的Norm残留符号
The norm residue symbol for formal Drinfeld modules
论文作者
论文摘要
在本文中，我们研究了Kummer配对与高度稳定降低的正式Drinfeld模块相关的。我们用正式的德林菲尔德模块的对数，一定的派生，扭转点和痕迹给出了对kolyvagin的明确描述。获得的结果给出了证明是卡利兹模块的anglès结果的概括，而符号范围级别的一号德林菲尔德模块被证明是bars和longhi的概括。它还将我们以前的公式扩展到包含足够扭转点的LOCA场的任意有限扩展。
In this paper, we study the Kummer pairing associated with formal Drinfeld modules having stable reduction of height one. We give an explicit description of the pairing à la Kolyvagin, in terms of the logarithm of the formal Drinfeld module, a certain derivation, torsion points and the trace. The results obtained give a generalization of the results of Anglès proved for Carlitz modules, and of Bars and Longhi proved for sign-normalized rank one Drinfeld modules. It also presents an extension of our previous formulas to arbitrary finite extensions of loca fields containing enough torsion points.
