Timeline for Lines on Lefschetz cubic hypersurfaces
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 13, 2018 at 18:38 | comment | added | user69183 | Okay, I think I now see how to prove your claim( It's some local calculation). The intersection needn't be complete or smooth and can have unexpected dimension. Please ignore my earlier comment | |
| Nov 9, 2018 at 5:15 | review | Close votes | |||
| Nov 24, 2018 at 3:01 | |||||
| Nov 8, 2018 at 20:58 | comment | added | dhy | They are both special cases of the following: If the local expansion of $f(x_1,x_2,\cdots,x_n)$ at the origin is $f_1+f_2+\cdots f_d$, where $f_i$ has degree $i$, then the space of lines through the origin in $f=0$ is an intersection of the hypersurfaces corresponding to $f_1,f_2,\cdots, f_d$ in $\mathbb{P}^{d-1}.$ This follows from a short computation. | |
| Nov 8, 2018 at 20:51 | history | asked | user69183 | CC BY-SA 4.0 |