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Laurent Berger attached a p-adic differential equation N_<rig>(M) with a Frobenius structure to an arbitrary de Rham (φ,Γ)-module M over a Robba ring. In this article, we compare the local epsilon co...njecture for the cyclotomic deformation of M with that of N_<rig>(M). We first define an isomorphism between the fundamental lines of their cyclotomic deformations using the second author’s results on the big exponential map. As a main result of the article, we show that this isomorphism enables us to reduce the local epsilon conjecture for the cyclotomic deformation of M to that of N_<rig>(M). The result can be regarded as a refined interpolation formula of the big exponential map.続きを見る
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