In this article we prove that if Deligne’s conjecture holds for motives associated to Hilbert modular forms of weight at least 3, then Deligne’s conjecture holds for arbitrary base change to totally real number fields of motives associated to Hilbert modular forms of weight at least 3.
@article{1271187739,
author = {Virdol, Cristian},
title = {On Deligne's conjecture for Hilbert motives over totally real number fields},
journal = {Kyoto J. Math.},
volume = {50},
number = {2},
year = {2010},
pages = { 75-81},
language = {en},
url = {http://dml.mathdoc.fr/item/1271187739}
}
Virdol, Cristian. On Deligne’s conjecture for Hilbert motives over totally real number fields. Kyoto J. Math., Tome 50 (2010) no. 2, pp. 75-81. http://gdmltest.u-ga.fr/item/1271187739/