A generalization of Colmez-Greenberg-Stevens formula
by Bingyong Xie  

Vol. 15 No. 4 (2020) P.287~P.320

DOI:	https://doi.org/10.21915/BIMAS.2020402
	10.21915/BIMAS.2020402

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 $\mathcal{L}$-invariant and use it to build a formula which is a generalization of the Colmez-Greenberg-Stevens formula.

KEYWORDS
Frobenius, Hodge-Tate weight, L-invariant

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 11F80,11F85

MILESTONES

Received: 2020-11-23
Revised : 2020-11-23
Accepted: 2020-12-16

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