Timeline for If the motive $M_f$ attached to a modular form $f$ has CM then does $f$ have CM?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 30, 2011 at 16:26 | comment | added | Joël | And also, how do you define $End(M_f)$? In which category of motives are you working on? I am not asking which construction (Chow motives, homological motives, etc.), but over which base field? $\mathbb{Q}$? Thanks. I am not asking just for the sake of precision: I do believe that when the definitions are written down, the proof will be obvious to anyone. | |
| Nov 30, 2011 at 16:20 | comment | added | Joël | Not sure I understand your definition yet. $dim(M_f)$ is 2, no? So you want $End(M_f)$ to be of dimension $4$ ?? | |
| Nov 30, 2011 at 14:57 | answer | added | Laie | timeline score: 3 | |
| Nov 30, 2011 at 12:58 | comment | added | unramified | I'm not sure how to edit comments but there should be a dim on the right side as well. | |
| Nov 30, 2011 at 9:54 | comment | added | unramified | If $M_f$ is the motive attached to $f$ then $M_f$ has CM if $2dim(M_f) = End(M_f) \otimes \mathbb{Q}$. | |
| Nov 30, 2011 at 2:00 | comment | added | Joël | Hello unramified. I am sure that the answer is yes. T he proof seems straightforward to me, so probably I am missing something. Could you precise how you define "$M_f$ is a CM motive"? | |
| Nov 29, 2011 at 17:35 | history | asked | unramified | CC BY-SA 3.0 |