Timeline for The solutions of a polynomial system
Current License: CC BY-SA 3.0
5 events
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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Jan 28, 2014 at 23:53 | answer | added | Ed Formanek | timeline score: 2 | |
Jan 20, 2014 at 8:40 | comment | added | Zhihua Chang | @JasonStarr I think it is difficult to count the number of solutions. Do you have any idea to prove the existence of such solutions? | |
Jan 19, 2014 at 20:15 | comment | added | Jason Starr | This seems harder than the previous question, where the answer was that $a_i\neq 0, b_j\neq 0$ for every solution. In particular, there are some choices of $m$, $n$, $r_i$ such that some solutions have some $a_i$ or $b_j$ equal to $0$. So now I don't see any strategy short of counting the number of solutions in coordinate hyperplanes (together with multiplicities) and showing that these do not account for all $(m+n-1)!$ solutions. | |
Jan 19, 2014 at 15:05 | history | asked | Zhihua Chang | CC BY-SA 3.0 |