This article is available for purchase or by subscription. See below.
Abstract
|
Let
be a non-Archimedean locally compact field of residual characteristic
. Let
be an irreducible smooth representation of the absolute Weil group
of
and
the Swan
exponent of
.
Assume
. Let
be the inertia
subgroup of
and
the wild inertia subgroup. There is an essentially unique, finite, cyclic group
, of order
prime to
,
such that
.
In response to a query of Mark Reeder, we show that the multiplicity in
of any
character of
is
bounded by
.
|
PDF Access Denied
We have not been able to recognize your IP address
18.206.12.157
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
Local field, tame multiplicity, conductor bound, primitive
representation
|
Mathematical Subject Classification 2010
Primary: 11S15, 11S37, 22E50
|
Milestones
Received: 16 September 2018
Revised: 8 May 2019
Accepted: 27 May 2019
Published: 2 August 2019
|
|