Timeline for Proving the non-degeneracy of the critical points of the potential function for a certain vector field with $ n $ point-singularities
Current License: CC BY-SA 3.0
3 events
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| Mar 29, 2016 at 2:56 | comment | added | Transcendental | @Lev: Hi Lev. Perhaps you can convert your comment into a short answer so that the bounty wouldn’t go to waste? | |
| Mar 27, 2016 at 12:15 | comment | added | Lev Borisov | I consider it highly unlikely that the critical points are always nondegenerate. Intuitively, you can imagine a finite number of such points for a generic choice of $q$, which could then "collide" for special choices of $q$. Even taking something as simple as regular $n$-gon and all $q=1$ might give a degenerate critical point at the origin (but I haven't done the calculation). | |
| Mar 10, 2016 at 1:20 | history | answered | Transcendental | CC BY-SA 3.0 |