Timeline for singular locus of projective variety
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Dec 29, 2012 at 18:38 | comment | added | Jérémy Blanc | Why do you want to use Macaulay2 ? It is smooth by the argument of Piotr (replacing $t^2$ by $t$ to get really a map from $P^1$ to $P^9$). If you want to do it in coordinates, look at the set where t=1 and the set where s=1. This seems to be a trivial exercise, not really for MO. | |
Dec 29, 2012 at 15:21 | comment | added | Mahdi Majidi-Zolbanin | Use Macaulay2 for this type of calculations. It can tell you the codimension of the singular locus. | |
Dec 29, 2012 at 9:24 | comment | added | Piotr Achinger | If we replace $t^2$ by $t$, the map $\phi$ becomes the $9$-uple embedding of $\mathbb{P}^1$. In particular, it is a closed immersion and the image is smooth. | |
Dec 29, 2012 at 9:02 | answer | added | Serge Lvovski | timeline score: 1 | |
Dec 29, 2012 at 8:43 | history | asked | Stiger | CC BY-SA 3.0 |