The local index and the Swan conductor
The local index and the Swan conductor
复制标题
本地索引和 Swan 指挥
作者：
Tsuzuki Nobuo
本文研究了特征p的局部域的绝对Galois群的p-adic表示所引起的p-adic线性微分方程组的局部指标。给出了p-adic微分方程局部指标的归纳公式，并利用归纳方法证明了微分方程局部指标与p-adic Galois表示的Swan导体的等价性.
In this paper we study local indices of systems of p-adic linearly differential equations which arise from p-adic representations of the absolute Galois group of local field of characteristic p with finite monodromy. We show the induction formula of the local index of p-adic differential equations and prove the equality between the local index of differential equations and the Swan conductor of p-adic Galois representations by inductive methods.