Timeline for Generalizations of Belyi's theorem
Current License: CC BY-SA 3.0
30 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2014 at 19:15 | answer | added | Matthias Wendt | timeline score: 6 | |
| Jun 28, 2014 at 1:35 | history | edited | KConrad | CC BY-SA 3.0 |
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| Mar 27, 2014 at 23:43 | history | edited | user62675 | CC BY-SA 3.0 |
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| May 2, 2011 at 7:25 | answer | added | Leonardo | timeline score: 11 | |
| Nov 24, 2010 at 11:06 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 22, 2010 at 8:51 | vote | accept | Marc Palm | ||
| Nov 19, 2010 at 9:16 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 18, 2010 at 13:18 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 18, 2010 at 8:15 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 18, 2010 at 8:04 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 18, 2010 at 3:33 | answer | added | Andy Putman | timeline score: 5 | |
| Nov 18, 2010 at 3:29 | comment | added | David Roberts♦ | I believe the version for higher dimensions is where 'anabelian schemes' come in. They are scheme theoretic versions of $K(\pi_1,1)$s, much as the complex analytic space associated to an algebraic curve is a $K(\Gamma_n,1)$. Grothendieck wrote a bit in Esquisse d'un Programme about these, and there is a bit of work since, but I don't know who has worked on it. Leila Schneps, perhaps? She's an expert on dessins so check her out anyway. | |
| Nov 18, 2010 at 3:04 | answer | added | JSE | timeline score: 4 | |
| Nov 17, 2010 at 12:59 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 17, 2010 at 10:56 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 17, 2010 at 10:38 | comment | added | Ariyan Javanpeykar | @Pete. Silly me. I didn't even notice that. Thanks for letting me know. | |
| Nov 17, 2010 at 8:52 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 17, 2010 at 8:45 | history | edited | Marc Palm | CC BY-SA 2.5 |
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| Nov 17, 2010 at 1:37 | history | edited | Victor Protsak | CC BY-SA 2.5 |
corrected the formulation of Belyi's theorem
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| Nov 17, 2010 at 1:30 | history | edited | Victor Protsak | CC BY-SA 2.5 |
fixed link, minor copyedit
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| Nov 16, 2010 at 22:53 | comment | added | Pete L. Clark | @Ariyan: this link comes from the author's website. So it's surely okay to post it. | |
| Nov 16, 2010 at 20:43 | comment | added | Ariyan Javanpeykar | You can find Szamuely's book here renyi.hu/~szamuely/fg.pdf . I'm not sure if it's ok to post the link like that but the book is really worth checking out. | |
| Nov 16, 2010 at 20:41 | comment | added | Ariyan Javanpeykar | Look at Chapter 4.7 of Szamuely's book: Galois Groups and Fundamental Groups. In that book you should look at Theorem 4.7.6. That's Belyi's theorem. Corollary 4.7.7 "explains" how the absolute Galois group comes into play. Remark 4.7.9 says that the significance of Corollary 4.7.7 is that it embeds the absolute Galois group in the outer automorphism group of something "topological". That's the beginning of Grothendieck's theory of dessins d'enfants (=children's drawings). | |
| Nov 16, 2010 at 19:20 | comment | added | Felipe Voloch | For a number field $K, {\bar K} = {\bar \mathbb{Q}}$, so the statement is the same as for $\mathbb{Q}$. | |
| Nov 16, 2010 at 19:19 | answer | added | AFK | timeline score: 11 | |
| Nov 16, 2010 at 19:15 | comment | added | Felipe Voloch | 2) is wrong. The map should go the other way and there should be only 3 branch points. | |
| Nov 16, 2010 at 18:01 | comment | added | Marc Palm | Function fields and algebraic number fields! | |
| Nov 16, 2010 at 17:49 | comment | added | Emerton | By other global fields do you mean function fields? | |
| Nov 16, 2010 at 17:08 | answer | added | Robin Chapman | timeline score: 9 | |
| Nov 16, 2010 at 16:58 | history | asked | Marc Palm | CC BY-SA 2.5 |