Timeline for Any finite number of curves over $\mathbb{Q}$ have a common cover
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 26, 2021 at 4:25 | vote | accept | Matias2 | ||
| Aug 24, 2021 at 19:30 | comment | added | David E Speyer | That's right for either Will's construction or mine. I don't know how you would prove it in general, though, or even what I would expect to be true. | |
| Aug 24, 2021 at 19:03 | comment | added | Matias2 | The genus of the curve grows exponentially with $r$ right (assume that $C$s are all elliptic curves)? | |
| Aug 24, 2021 at 17:51 | comment | added | Will Sawin | Another approach to the first statement is to map all the curves to $\mathbb P^1$, take a fiber product, and normalize to resolve its singularities. | |
| Aug 24, 2021 at 17:37 | history | answered | David E Speyer | CC BY-SA 4.0 |