Timeline for common zeroes of multivariable polynomials
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 14 at 15:35 | comment | added | Oleg Eroshkin | @JoachimKönig Oh, you are correct. I misread the assumption and thought that OP requires that all $Q_i$ are not vanishing. | |
| Feb 14 at 15:23 | comment | added | Joachim König | @OlegEroshkin It's stated with existence of a $Q_i$ such that... (which is correct). | |
| Feb 14 at 12:59 | comment | added | Oleg Eroshkin | As stated, that is false. The simplest counterexample is: $P_1(X,Y)=X^2$ and $P_2(X,Y)=XY$. The condition that $Q_1$ is not vanishing on the infinite subset of a zero locus failed here. | |
| Feb 14 at 6:23 | vote | accept | joaopa | ||
| Feb 14 at 6:12 | answer | added | Stanley Yao Xiao | timeline score: 2 | |
| Feb 14 at 6:03 | comment | added | Joachim König | Isn't this immediate from Bezout's theorem (for plane curves)? | |
| Feb 14 at 5:21 | history | edited | joaopa | CC BY-SA 4.0 |
added 13 characters in body
|
| Feb 14 at 2:18 | history | asked | joaopa | CC BY-SA 4.0 |