Document Type
Article
Version
Author's Final Manuscript
Publication Title
Compositio Mathematica
Volume
153
Publication Date
2017
Abstract
We study the p-adic variation of triangulations over p-adic families of 𝜑 𝛤 -modules. In particular, we study certain canonical sub-filtrations of the pointwise triangulations and show that they extend to affinoid neighborhoods of crystalline points. This generalizes results of Kedlaya, Pottharst and Xiao and (independently) Liu in the case where one expects the entire triangulation to extend. We also study the ramification of weight parameters over natural -adic families.
Citation
Bergdall, John. 2017. "Paraboline variation of p-adic families of (φ; Γ)-modules." Compositio Mathematica, 153.1: 132-174.
DOI
http://doi.org/10.1112/S0010437X16007831