Some Bounds for ramification of $p^n$-torsion semi-stable representations
Number Theory
2008-07-09 v2 Algebraic Geometry
Abstract
Let p be an odd prime, K a finite extension of Q_p, G=Gal(\bar K/K) the Galois group and e=e(K/Q_p) the ramification index. Suppose T is a p^n torsion representation such that T is isomorphic to a quotient of two G-stable Z_p-lattices in a semi-stable representation with Hodge-Tate weights in {0,...,r}. We prove that there exists a constant \mu explicitly depending on n, e and r such that the upper numbering ramification group G^{(\mu)} acts on T trivially.
Keywords
Cite
@article{arxiv.0805.4227,
title = {Some Bounds for ramification of $p^n$-torsion semi-stable representations},
author = {Xavier Caruso and Tong Liu},
journal= {arXiv preprint arXiv:0805.4227},
year = {2008}
}