A generalization of Colmez-Greenberg-Stevens formula

Abstract

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.

To appear in "Bulletin of the Institute of Mathematics''

References in corpus (1)

• Classification of two dimensional split trianguline representations of $p$-adic fields