On ramification filtrations and p-adic differential equations, II: mixed characteristic case
On ramification filtrations and p-adic differential equations, II: mixed characteristic case
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关于分枝过滤和 p 进微分方程，II：混合特征情况
作者：
L. Xiao
设K是具有混合特征（0，p）的完备离散赋值域，且可能有不完美剩余域。本文证明了GK上算术分歧滤子的一个Hasse-Arf定理，但可能在绝对非分歧和非对数的情况下，或p=2和对数的情况下除外.作为应用，我们得到了环上有限平坦群格式上的一个过滤的Hasse-Arf定理。K.
Abstract Let K be a complete discrete valuation field of mixed characteristic (0,p), with possibly imperfect residue field. We prove a Hasse–Arf theorem for the arithmetic ramification filtrations on GK, except possibly in the absolutely unramified and non-logarithmic case, or the p=2 and logarithmic case. As an application, we obtain a Hasse–Arf theorem for filtrations on finite flat group schemes over ?K.