Paraboline variation of p-adic families of (φ; Γ)-modules

Authors

John Bergdall, Bryn Mawr CollegeFollow

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