Timeline for An isogeny between Jacobians of hyperelliptic curves
Current License: CC BY-SA 4.0
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| Feb 4, 2020 at 3:06 | comment | added | Jared Weinstein | Thank you Xarles! I am attempting to see whether your construction generalizes. The Jacobian of $X_t$ is isogenous to a product of Jacobians of hyperelliptic curves $C_{1,t}$ and $C_{2,t}$. Evidence suggests that your pattern persists: the Jacobians of $C_{1,t}$ and $C_{1,1-t}$ are isogenous over $\mathbf{F}_{q^2}(t)$, and the Jacobians of $C_{2,t}$ and $C_{2,1-t}$ are isogenous already over $\mathbf{F}_q(t)$. | |
| Jan 20, 2020 at 17:04 | history | edited | Xarles | CC BY-SA 4.0 |
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| Jan 20, 2020 at 16:59 | history | answered | Xarles | CC BY-SA 4.0 |