ON A RAMIFICATION BOUND OF SEMI-STABLE MOD p REPRESENTATIONS OVER A LOCAL FIELD
نویسنده
چکیده
Let p be a rational prime, k be a perfect field of characteristic p, W = W (k) be the ring of Witt vectors, K be a finite totally ramified extension of Frac(W ) of degree e and r be a non-negative integer satisfying r < p − 1. In this paper, we prove the upper numbering ramification group G (j) K for j > 1+e(1+r/(p−1)) acts trivially on the mod p representations associated to the semi-stable p-adic GK-representations with Hodge-Tate weights in {0, . . . , r}.
منابع مشابه
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Let p be a rational prime, k be a perfect field of characteristic p, W = W (k) be the ring of Witt vectors, K be a finite totally ramified extension of Frac(W ) of degree e and r be a nonnegative integer satisfying r < p− 1. Let V be a semi-stable p-adic GK representation with Hodge-Tate weights in {0, . . . , r}. In this paper, we prove the upper numbering ramification group G (j) K for j > u(...
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تاریخ انتشار 2008