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A generalization of Colmez-Greenberg-Stevens formula

A generalization of Colmez-Greenberg-Stevens formula

In this paper we study the derivatives of Frobenius and the derivatives of Hodge-Tate weights for families of Galois representations with triangulations.We give a generalization of the Fontaine-Mazur L-invariant and use it to build a formula which is a generalization of the Colmez-Greenberg-Stevens formula.L ′ p (f,1)L(f,1) .Combining