Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.


Given an algebraic Hecke character $\chi$ of a number field $k$ there should be a "rank 1 CM-motive" $M$ with $\overline Q$-coefficients such that $L(s,M) = L(s,\chi)$. This follows from the general theory of the Taniyama group and its quotient, the Serre group. My question is if there is a simpler way of constructing the motive $M$ starting from $\chi$...


share|improve this question
See Schappacher's book, Periods of Hecke characters (chapter un on Motives). dx.doi.org/10.1007/BFb0082094 See also the thread mathoverflow.net/questions/33269/fontaine-mazur-for-gl-1 –  Junkie Mar 10 '12 at 3:19

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.