Adibhatla, Rajender and Manoharmayum, Jayanta (2011) Higher congruence companion forms. Preprintreihe der Fakultät Mathematik 26/201, Working Paper.
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
|Item Type:||Monograph (Working Paper)|
|Institutions:||Mathematics > Prof. Dr. Uwe Jannsen|
|Subjects:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||07 Sep 2011 06:08|
|Last Modified:||07 Sep 2011 06:08|