Timeline for Polynomial discriminant equation
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 7 at 20:27 | comment | added | Abdelmalek Abdesselam | If an elegant geometric argument is hard to find, there is also a brutal approach of looking at the Brill equations for $D$ with generic $A$ and $B$, with the help of a computer algebra system. See mathoverflow.net/a/109340/7410 | |
| Dec 7 at 20:17 | comment | added | Aleksei Kulikov | Well, another option is to pick literally any forms $A, B$ assuming they only depend on $x_1$ and $x_2$, then everything will factor again over $\mathbb{C}$ but not necessarily over $\mathbb{Q}$. | |
| Dec 7 at 19:53 | comment | added | Stanley Yao Xiao | @AlekseiKulikov indeed, I do not want that degenerate case. I edited the question to reflect this | |
| Dec 7 at 19:52 | history | edited | Stanley Yao Xiao | CC BY-SA 4.0 |
added 43 characters in body
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| Dec 7 at 19:40 | comment | added | Aleksei Kulikov | Well, there is a stupid answer, just pick a linear form $L$ and put $A = L^2$, $B = L^3$, but this is likely not what you want. | |
| Dec 7 at 19:30 | history | asked | Stanley Yao Xiao | CC BY-SA 4.0 |