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We provide an effective ramification theorem for the ratio of canonical formsof a weakly complete flat front in the hyperbolic three-space. Moreover we givethe two applications of this theorem, the first one is to show an analogue ofthe Ahlfors islands theorem for it and the second one is to give a simple proofof the classification of complete nonsingular flat surfaces in the hyperbolicthree-space.

A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space