Geometric Sen theory over rigid analytic spaces
Number Theory
2026-01-26 v4
Abstract
In this work we develop geometric Sen theory for rigid analytic spaces, generalizing the previous work of Pan for curves. We also extend the axiomatic Sen-Tate formalism of Berger-Colmez to a certain class of locally analytic representations.
Cite
@article{arxiv.2205.02016,
title = {Geometric Sen theory over rigid analytic spaces},
author = {J. E. Rodríguez Camargo},
journal= {arXiv preprint arXiv:2205.02016},
year = {2026}
}
Comments
Corrected version after referee report. 63 pages