Derivatives of Frobenius and Derivatives of Hodge weights

Abstract

In this paper we study the derivatives of Frobenius and the derivatives of Hodge weights for families of Galois representations with triangulations. We generalize the Fontaine-Mazur L-invariant and use it to build a formula which is a generalization of the Greenberg-Stevens-Colmez formula. For the purpose of proving this formula we show two auxiliary results called projection vanishing property and "projection vanishing implying L-invariants" property.

References in corpus (2)

• Slope filtrations revisited
• Locally analytic vectors of unitary principal series of GL_2(Qp)