Timeline for Affine model of a hyperelliptic curve
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 23, 2012 at 20:24 | vote | accept | expmat | ||
| May 23, 2012 at 16:17 | comment | added | Noam D. Elkies | For $g=1$ [or even $g=0$] a counterexample is $f = -(x^4+1)$ [or $f = -(x^2+1)$] over ${\bf R}$, or over any field contained in ${\bf R}$ such as ${\bf Q}$. The involution is no longer intrinsic, but there are no rational points, whereas a model with $\deg(f) = 2g+1$ would have a rational point at infinity. | |
| May 23, 2012 at 15:29 | history | answered | David E Speyer | CC BY-SA 3.0 |