Timeline for n-th root of unity in n-th division field of abelian variety?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 2, 2015 at 9:17 | comment | added | ACL | @JoeSilverman: Unfortunately, I made a confusion and (see Zarhin's comment above), it is $(A\times A^{\vee })^4$ which is principally polarized. | |
| Jul 1, 2015 at 10:58 | comment | added | Joe Silverman | @ACL Very nice! | |
| Jul 1, 2015 at 8:41 | comment | added | ACL | But one knows (“Zarhin's trick”) that $A^4$ has a principal polarization. Since $K(A[n])=K(A^4[n])$, this implies that the result holds in general! | |
| Jun 4, 2015 at 7:05 | vote | accept | David84 | ||
| Jun 4, 2015 at 8:32 | |||||
| Jun 4, 2015 at 2:52 | history | answered | Joe Silverman | CC BY-SA 3.0 |