Timeline for Branched covers of the sphere branched over few points
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 2, 2021 at 23:42 | history | became hot network question | |||
| Apr 2, 2021 at 21:19 | history | edited | Lasse Rempe | CC BY-SA 4.0 |
Corrected the first line. (The genus should be assumed to be at least 2, as in the question further below. For tori the answer is 4 critical values, and this is realised by the Weierstrass p function.)
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| Apr 2, 2021 at 20:55 | history | edited | Lasse Rempe | CC BY-SA 4.0 |
corrected LaTeX error
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| Apr 2, 2021 at 18:41 | vote | accept | Lasse Rempe | ||
| Apr 2, 2021 at 18:22 | answer | added | abx | timeline score: 7 | |
| Apr 2, 2021 at 17:50 | comment | added | Lasse Rempe | @abx Thanks! Alex Eremenko just pointed out the same thing to me. :D Do you want to post this as an answer? | |
| Apr 2, 2021 at 16:31 | comment | added | abx | You just need to apply your argument with a Weierstrass point — that is a point $p$ for which there exists a meromorphic function with a pole of order $k\leq g$ at $p$ (they always exist). Then the number of critical values is at most $2g+k\leq 3g$. | |
| Apr 2, 2021 at 15:39 | history | asked | Lasse Rempe | CC BY-SA 4.0 |