Timeline for Writing a smooth plane quartic as the vanishing of $Q_0Q_2 - Q_1^2$ for quadratic $Q_0,Q_1,Q_2$
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 3, 2023 at 13:54 | vote | accept | TCiur | ||
| May 2, 2023 at 14:12 | comment | added | Jeremy Rouse | Representing a smooth plane quartic $C$ over a number field $F$ in this form is equivalent to constructing an unramified double cover of $C$ defined over $F$. (See Section 3 of the paper "The arithmetic of Prym varieties in genus $3$" by Nils Bruin, Compositio, 2008 for details.) In particular, one can do this over $F$ if and only if the Jacobian of $C$ has an $F$-rational $2$-torsion point. | |
| May 2, 2023 at 11:14 | answer | added | Peter Mueller | timeline score: 7 | |
| May 2, 2023 at 6:39 | answer | added | Sasha | timeline score: 4 | |
| May 2, 2023 at 3:09 | history | asked | TCiur | CC BY-SA 4.0 |