Timeline for Argument for non-existence of elliptic curve over $\mathbb{C}[t, t^{-1}]$
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 14 at 20:50 | comment | added | Chris Wuthrich | Sure, but if $p$ divides $v(q)$, we could have that $q$ is a $p$-th power in $K_v$ in which case $K_v=L_w$ is a trivial extension. The important part is that the extension is non-trivial of degree $p$. | |
| Jun 14 at 19:32 | comment | added | user267839 | just to check if I understood the logic of the argumentation (even though this might be a triviality): Isn't $L_w$ by construction already $K_v\bigl(\sqrt[p]{q}\bigr)$ independently of additional condition $p >v(q)$? Or does the latter condition only serve to assure that that the extension is non trivial? | |
| Jun 14 at 19:06 | history | bounty ended | user267839 | ||
| Jun 14 at 19:06 | vote | accept | user267839 | ||
| Jun 13 at 20:26 | history | answered | Chris Wuthrich | CC BY-SA 4.0 |