Timeline for zeros of holomorphic function in n variables
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Feb 3, 2018 at 10:12 | comment | added | Igor Khavkine | As the counter example in Oleg's answer showed, the obstruction to the conjecture is local (unlike in the $n=1$ case). Had there been non local obstruction, the local finiteness of the union of connected components might have come in useful. | |
| Feb 2, 2018 at 15:32 | comment | added | M Mueger | Well, the zero-set of a holomorphic function is an analytic set and therefore locally a unit of holomorphic (n-1)-manifolds. But I don't see how this helps approaching the conjecture, where real and imaginary parts of the variables are treated differently. | |
| Feb 2, 2018 at 15:04 | history | answered | Igor Khavkine | CC BY-SA 3.0 |