Timeline for Projective spaces as affine varieties
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 11, 2012 at 13:17 | vote | accept | Justin Smith | ||
| Jul 11, 2012 at 13:18 | |||||
| Jul 10, 2012 at 17:30 | comment | added | Emerton | Dear Jurgen, What you are calling $\mathbb{RP}^1$ is the real points of $\mathbb P^1$, which is not at all the same thing as the variety or scheme $\mathbb P^1$ over $\mathbb R$. Thus there is not contradiction. (If we consider your stated isomorphism, the non-constant functions $x$ and $y$ are defined over $\mathbb R$, and they will have poles on $\mathbb P^1$, but not at any real point; rather the poles will be at complex conjugate pairs of complex points.) Regards, | |
| Jul 10, 2012 at 14:25 | history | answered | Jürgen Böhm | CC BY-SA 3.0 |