Timeline for Existence of supersingular abelian variety over $\mathbb F_p$ with $\mathcal O_E$-action where $E/\mathbb Q$ is quadratic imaginary ramified at $p$
Current License: CC BY-SA 4.0
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| Sep 22 at 8:59 | comment | added | Pol van Hoften | Let $A$ be any supersingular abelian variety over $\mathbb{F}_p$ and consider $B=A \otimes_{Z} \mathcal{O}_E$. Another way of saying this is that we are choosing a $\mathbb{Z}$-basis of $\mathcal{O}_E$ giving an injection $\mathcal{O}_E \to M_{2 \times 2}(\mathbb{Z})$, and we let $\mathcal{O}_E$ act on $A \times A$ via the natural action of M_{2 \times 2}(\mathbb{Z})$ on the product. | |
| Jun 25 at 5:45 | history | edited | Suzet | CC BY-SA 4.0 |
added 17 characters in body
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| Jun 25 at 2:05 | history | asked | Suzet | CC BY-SA 4.0 |