most recent 30 from http://mathoverflow.net 2013-05-24T15:14:06Z http://mathoverflow.net/feeds/question/97006 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/97006/reference-for-cm-hilbert-modular-forms-arise-from-hecke-characters unramified 2012-05-15T14:50:28Z 2012-05-16T14:08:47Z

<p>For classical modular forms, the correspondence between the form having CM by an imaginary quadratic field $K$ and it being induced from a Hecke character on $K$ is well-known. (Ribet's paper is a standard reference.)</p> <p>I am looking for a reference for the analogous result for Hilbert modular forms over a totally real field F. In particular, if the form has CM then it arises from a Hecke character on a quadratic imaginary extension $K$ (over $F$.) I believe, for the converse, Yoshida/Hida is the reference. Thanks</p>