Timeline for Multiplication on cubic hypersurfaces and partially defined groups
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 15, 2017 at 16:51 | vote | accept | Dmitrii Korshunov | ||
| Nov 15, 2017 at 16:45 | comment | added | Gro-Tsen | @DmitryK My example is $2$-dimensional: the Clebsch diagonal cubic surface is defined in the ($3$-dimensional) hyperplane $\sum_{i=0}^4 X_i=0$ inside $\mathbb{P}^4$ for symmetry, but by seeing this hyperplane as $\mathbb{P}^3$, it is a smooth surface in $\mathbb{P}^3$. | |
| Nov 15, 2017 at 16:32 | comment | added | Dmitrii Korshunov | Great, thank you! Although I was looking for a hypersurface example, your computation demonstrates non-associativity on 3d Fermat cubic $\sum_{i=0}^4 X_i^3 = 0$ as well. But I'm still not sure about 2-dimensional cubic hypersurface. | |
| Nov 15, 2017 at 15:03 | history | answered | Gro-Tsen | CC BY-SA 3.0 |