Reduction of certain crystalline representations and local constancy in the weight space
Number Theory
2018-01-25 v1
Abstract
We study the mod reduction of crystalline local Galois representations of dimension 2 under certain conditions on its weight and slope. Berger showed that for a fixed non-zero trace of the Frobenius, the reduction process is locally constant for varying weights. By explicit computation we obtain an upper bound that is a linear function of the slope, for the radius of this local constancy around some special points in the weight space.
Keywords
Cite
@article{arxiv.1801.07754,
title = {Reduction of certain crystalline representations and local constancy in the weight space},
author = {Shalini Bhattacharya},
journal= {arXiv preprint arXiv:1801.07754},
year = {2018}
}
Comments
15 pages, comments are welcome!