Timeline for Does the torsion points of abelian varieties transfer to their formal group laws (upon suitable choice of coordinates)?
Current License: CC BY-SA 4.0
9 events
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| Jul 25 at 13:05 | comment | added | Learner | @ChrisWuthrich, thanks for explaining my question better than me. Indeed, that is something I want to say. Maybe someone can put a sketch/hints of a proper answer, if necessary, by assuming condition | |
| Jul 25 at 12:23 | comment | added | Chris Wuthrich | If you compare points, you need to fix equations and say these two models of the two varieties intersect in infinitely many points in the ambient projective space. Once these models are fixed there is a choice of the formal group fixed as well and their associated groups can be intersected. Maybe that is what you mean. Certainly the way it is written right now it is very confusing. | |
| Jul 25 at 5:15 | history | edited | Learner | CC BY-SA 4.0 |
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| Jul 25 at 1:11 | history | edited | Learner | CC BY-SA 4.0 |
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| Jul 25 at 1:07 | comment | added | Learner | @AchimKrause, I mean the groups of p-power torsion points A[p^n] and B[p^n] have common elements. The points are not abstract, they exists. Otherwise, how can one consider field extensions by those points. Perhaps, I should replace $\mathbb{Q}$ by any algebraically closed field of characteristics 0 or prime $p$ | |
| Jul 24 at 23:32 | review | Close votes | |||
| Jul 31 at 3:02 | |||||
| Jul 24 at 17:03 | comment | added | Jason Starr | @AchimKrause Maybe the residue field extensions of the torsion points are isomorphic as extensions of the ground field . . . | |
| Jul 24 at 16:52 | comment | added | Achim Krause | For two abstract abelian varieties, what does it mean for them to share torsion points? This seems to inherently rely on a choice of coordinates. | |
| Jul 24 at 16:26 | history | asked | Learner | CC BY-SA 4.0 |