Timeline for The Tate conjecture for abelian varieties
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 2, 2014 at 7:39 | vote | accept | Daniel Loughran | ||
| May 1, 2014 at 5:12 | comment | added | naf | Most cases where the full Tate conjecture is known is when the Galois invariants are generated by classes of divisors (which is known not to be true in general). This is proved by showing that the image of the Galois group acting on $H^2$ is as big as possible, e.g., if the endomorphism ring is $\mathbb{Z}$ then one would like to show that the Zariski closure of the image of Galois is the symplectic group. However, these types of results require restrictions on the dimension. (The known results are due to Ribet, Serre, Chi, Pink and probably others I don't know about.) | |
| Apr 30, 2014 at 17:32 | answer | added | Donu Arapura | timeline score: 17 | |
| S Apr 30, 2014 at 16:46 | history | suggested | GNiklasch |
newly created tag "tate" removed
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| Apr 30, 2014 at 16:35 | review | Suggested edits | |||
| S Apr 30, 2014 at 16:46 | |||||
| Apr 30, 2014 at 16:32 | history | asked | Daniel Loughran | CC BY-SA 3.0 |