The $\mathcal{L}$-invariant, the dual $\mathcal{L}$-invariant, and families
Number Theory
2015-12-04 v1
Abstract
Given a rank two trianguline family of -modules having a noncrystalline semistable member, we compute the Fontaine--Mazur -invariant of that member in terms of the logarithmic derivative, with respect to the Sen weight, of the value at p of the trianguline parameter. This generalizes prior work, in the case of Galois representations, due to Greenberg--Stevens and Colmez.
Keywords
Cite
@article{arxiv.1512.00930,
title = {The $\mathcal{L}$-invariant, the dual $\mathcal{L}$-invariant, and families},
author = {Jonathan Pottharst},
journal= {arXiv preprint arXiv:1512.00930},
year = {2015}
}
Comments
accepted to Annales math\'ematiques du Qu\'ebec (special volume in honor of Glenn Stevens's 60th birthday)