Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields

Details Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields

2010-07-19

arxiv.org/abs/1007.3094v3

Mathematics

Number Theory

22 pages; exposition simplified and shortened

Scientific paper

Let p>2 be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fractional field of the Witt ring of k. Let G and H be finite flat commutative group schemes killed by p over O_K and k[[u]], respectively. In this paper, we show the upper and the lower ramification subgroups of G and H in the sense of Abbes-Saito are naturally isomorphic to each other when they are associated to the same Kisin module.

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