Timeline for finite covering
Current License: CC BY-SA 3.0
9 events
when toggle format | what | by | license | comment | |
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Jun 10, 2013 at 21:57 | vote | accept | user34848 | ||
Jun 10, 2013 at 21:57 | comment | added | user34848 | I agree the covering $\Pi_{f}$ should be ramified. I misunderstood the article. | |
Jun 10, 2013 at 21:49 | comment | added | Francesco Polizzi | Obviously I mean $\Sigma \setminus p_1, p_2, p_3$ | |
Jun 10, 2013 at 21:48 | comment | added | Francesco Polizzi | Sorry, but I really do not understand. The images of the loops $\gamma_i$ are non-trivial in $\mathbb{Z}_3$, so the map $\Pi_f$ is ramified at the points $p_i$, with stabilizer the whole of $\mathbb{Z}_3$. This is a very standard application of Riemann Existence Theorem. The cover over $\sigma \setminus p_1, p_2, p_3$ is étale, but the cover over $\Sigma$ is not. | |
Jun 10, 2013 at 21:43 | comment | added | user34848 | No, I am considering unramified covering $\Pi_{f}$ | |
Jun 10, 2013 at 21:40 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
added 12 characters in body
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Jun 10, 2013 at 21:36 | comment | added | Francesco Polizzi | You are welcome. But you meant "ramified", didn't you? | |
Jun 10, 2013 at 21:35 | vote | accept | user34848 | ||
Jun 10, 2013 at 21:43 | |||||
Jun 10, 2013 at 21:31 | history | answered | Francesco Polizzi | CC BY-SA 3.0 |