Timeline for Is there for every variety X an abelian variety A such that their 1st l-adic cohomologies are isomorphic?
Current License: CC BY-SA 3.0
6 events
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| Sep 11, 2011 at 16:51 | comment | added | Donu Arapura | From "inskspot's" answer, it appears that this is true on the nose without restriction to an open subgroup. | |
| Sep 11, 2011 at 15:51 | comment | added | shenghao | So without the assumption on the existence of rational points, we only know that these two Galois reps become isomorphic when restricted to some open subgroup, right? | |
| Sep 8, 2011 at 20:23 | comment | added | ACL | By Barberi-Viale, Rosenschon and Saito, jstor.org/pss/3597296, a similar result holds for any complex algebraic variety. Of course, one needs to consider a 1-motive instead of an Abelian variety. | |
| Sep 8, 2011 at 19:08 | history | edited | Donu Arapura | CC BY-SA 3.0 |
added 79 characters in body
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| Sep 8, 2011 at 14:31 | comment | added | Torsten Ekedahl | For the direct construction of the Albanese variety see Serre: Groupes algébriques et corps de classes. If I remember correctly he reproduces a proof by Lang but as always it is an eminently readable exposition. | |
| Sep 8, 2011 at 14:11 | history | answered | Donu Arapura | CC BY-SA 3.0 |