Timeline for When is a degree-$n$ homogeneous polynomial in $\mathbb{C}[x_1, x_2, \ldots , x_m ]$ the product of $n$ one-forms?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| May 9 at 19:37 | comment | added | Abdelmalek Abdesselam | @R.P.: Q4 is rather moot. As far as I know, the simplest criterion is the answer to Q3, i.e., to just plug the coefficients of the polynomial of interest into the Brill-Gordan equations and see if one gets zero or not. | |
| May 9 at 17:33 | comment | added | Abdelmalek Abdesselam | I think i did answer that question. | |
| May 9 at 12:21 | comment | added | Dave Benson | This is set theoretically defined by Brill's equations for the Chow variety, although the ideal they generate is not in general radical. | |
| May 9 at 7:34 | comment | added | R.P. | @GjergjiZaimi Not obvious to me that it does. The current question is specifically about sub-question 4. of that question, and it looks like that sub-question was left unanswered. | |
| May 9 at 6:56 | review | Close votes | |||
| May 15 at 3:11 | |||||
| May 9 at 6:39 | comment | added | Gjergji Zaimi | Does this answer your question? which homogeneous polynomials split into linear factors? | |
| May 9 at 3:23 | history | edited | YCor | CC BY-SA 4.0 |
copied question to body, added tag
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| S May 9 at 2:10 | review | First questions | |||
| May 9 at 4:21 | |||||
| S May 9 at 2:10 | history | asked | poisson | CC BY-SA 4.0 |