Timeline for The automorphism group of a particular ppav
Current License: CC BY-SA 2.5
2 events
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| Nov 14, 2010 at 15:13 | comment | added | BCnrd | Rosati involution on $E$ (via the unique principal pol.) is complex conjugation, so Rosati involution on $E \times E$ is conjugate-transpose on ${\rm{Mat}}_2(\mathbf{Z}[i])$. Hence, want $M \in {\rm{GL}}_2(\mathbf{Z}[i])$ such that conjugate-transpose of $M$ is inverse to $M$ (which is equivalent to preservation of the Weil self-pairing on Tate modules induced by the polarization). You can take it from there, I presume. | |
| Nov 14, 2010 at 13:26 | history | asked | shenghao | CC BY-SA 2.5 |