Go to content
UR Home

Higher congruence companion forms

URN to cite this document:
urn:nbn:de:bvb:355-epub-220161
Adibhatla, Rajender ; Manoharmayum, Jayanta
[img]
Preview
PDF
(489kB)
Date of publication of this fulltext: 07 Sep 2011 06:08


Abstract

For a rational prime p � 3 we consider p-ordinary, Hilbert modular newforms f of
weight k � 2 with associated p-adic Galois representations �f and mod pn reductions �f;n.
Under suitable hypotheses on the size of the image, we use deformation theory and modularity
lifting to show that if the restrictions of �f;n to decomposition groups above p split then f has a
companion form g modulo pn (in the sense that �f;n � �g;n
�k


Owner only: item control page
  1. Homepage UR

University Library

Publication Server

Contact:

Publishing: oa@ur.de

Dissertations: dissertationen@ur.de

Research data: daten@ur.de

Contact persons