LIFT ACCORDING TO AN ISOGENY OF 1-ADIC SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED WITH MOTIFS

成果类型:
Article
署名作者:
WINTENBERGER, JP
署名单位:
Universites de Strasbourg Etablissements Associes; Universite de Strasbourg; Centre National de la Recherche Scientifique (CNRS)
刊物名称:
INVENTIONES MATHEMATICAE
ISSN/ISSBN:
0020-9910
DOI:
10.1007/BF01241127
发表日期:
1995
页码:
215-240
关键词:
摘要:
Let rho(l) : G(E) --> H(Q(l)) be a system of l-adic Galois representations associated to a motive over a number field E with values in the algebraic group H. Let H' --> H be a central isogeny such that the complex Hedge structure lifts to H'. The main result is that, under some convenient hypothesis, and after restriction to a finite extension, the system of Galois representations lifts to H'.
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