This article is available for purchase or by subscription. See below.
Abstract
|
Let be a prime number
and
a positive even
integer less than .
In this paper, we find a Galois stable lattice in each two-dimensional semistable noncrystalline
representation of
with
Hodge–Tate weights
by constructing the corresponding strongly divisible module.
We also compute the Breuil modules corresponding to the
mod
reductions of these strongly divisible modules, and determine the semisimplification of
the mod
reduction of the original representations. We use these results to construct the
irreducible components of the semistable deformation rings in Hodge–Tate weights
of the absolutely irreducible residual representations of
.
|
PDF Access Denied
We have not been able to recognize your IP address
18.191.211.66
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
semistable representations, strongly divisible modules,
Breuil modules, semistable deformation rings
|
Mathematical Subject Classification 2010
Primary: 11F80
|
Milestones
Received: 30 March 2017
Revised: 30 January 2018
Accepted: 12 May 2018
Published: 8 March 2019
|
|