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On the Hodge–Newton Filtration for p-Divisible Groups with Additional Structures

On the Hodge–Newton Filtration for p-Divisible Groups with Additional Structures

We prove that, for a p-divisible group with additional structures over a complete valuation ring of rank 1 OK with mixed characteristic (0,p), if the Newton polygon and the Hodge polygon of its special fiber possess a nontrivial contact point, which is a break point for the Newton polygon, then …