2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62819In his Ph. D. thesis, C. Lehr offers an algorithm which gives the stable model for p-cyclic covers of the projective line over a p-adic field under the conditions that the branch locus whose cardinal is m+1 has the so called equidistant geometry and m<p. In this note we give an algorithm also in the equidistant geometry case but without condition on m. In particular we are able to study the reduction at 2 of hyperelliptic curves with equidistant branch locus.23 pages, 6 figuresNumber TheoryAlgebraic Geometry11G20;14H30text