Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1742
Title: On local Galois representations associated to ordinary Hilbert modular forms
Authors: BALASUBRAMANYAM, BASKAR
Ghate, Eknath
Vatsal, Vinayak
Dept. of Mathematics
Keywords: Galois representations
Ordinary Hilbert modular forms
CM primitive
Technical assumptions
2013
Issue Date: Nov-2013
Publisher: Springer Nature
Citation: Manuscripta Mathematica,142(3-4), 513-524.
Abstract: Let F be a totally real field and p be an odd prime which splits completely in F. We show that a generic p-ordinary non-CM primitive Hilbert modular cuspidal eigenform over F of parallel weight two or more must have a locally non-split p-adic Galois representation, at at least one of the primes of F lying above p. This is proved under some technical assumptions on the global residual Galois representation. We also indicate how to extend our results to nearly ordinary families and forms of non-parallel weight.
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1742
https://doi.org/10.1007/s00229-013-0614-1
ISSN: 0025-2611
1432-1785
Appears in Collections:JOURNAL ARTICLES

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