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Soit un revêtement de la droite projective défini sur , de groupe
de monodromie . Soit le compositum des corps de rationalité des points de
branchement , et le corps des modules correspondants. Partant du lien entre corps
des modules et espaces de Hurwitz, on étudie la géométrie et l’arithmétique de ces
espaces et des espaces de configuration de points complétés pour évaluer la ramification
dans des mauvaises places de qui ne divisent pas l’ordre de , mais où les
points de branchements...
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