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
Download Full Content