Sur la réduction des représentations cristallines de dimension 2 en poids moyens

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We compute the reduction modulo $p$ of 2-dimensional crystalline representations whose Hodge-Tate weights are 0 and $k-1$ with $k \in \{p+2,...,2p-1\}$.
typos corrected, one new result added (theorem 2.2.5)

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