Abstract

Let K be a complete discrete valued field of unequal characteristic (0,p). The aim of this paper is to describe the semi-stable models for covers P_K¹ → P_K¹ of degree p, unramified outside r ≤ p points and totally ramified above one of them, under the assumtion that the ramification locus has a particular reduction type (which always occurs if r ≤ 4). We are principally concerned with the minimal semi-stable models which separate the ramified fibers.

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