Timeline for What happens to inertia groups after blow ups?
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Aug 12, 2010 at 19:24 | comment | added | H. Hasson | @David: Do you have a reference for this in an algebraic framework? | |
| Jul 6, 2010 at 23:02 | comment | added | Makhalan Duff | Aha. I normalized not in the function field of Y, but in the function field of X to get X', so that I can talk about the induced G-Galois cover of the blow up, Y'. | |
| Jul 6, 2010 at 22:36 | comment | added | David E Speyer | I'm saying that, if $U$ is a contractible neighborhood of $x$ then the inertia group of $x$ is the image of $\pi_1(U \setminus (D_1 \cup D_2))$ in the Deck group. | |
| Jul 6, 2010 at 22:35 | comment | added | David E Speyer | I couldn't figure out why you were normalizing. If $Y$ is smooth and you blow up at a smooth point, then $Y'$ is normal. | |
| Jul 6, 2010 at 21:12 | comment | added | Makhalan Duff | I see that normalization didn't really come into play in your argument. Where is it hidden? Also - Are you claiming that Pi_1(Y\D_1 union D_2) is the inertia group of the point of intersection of P_1 and P_2? | |
| Jul 6, 2010 at 19:50 | vote | accept | Makhalan Duff | ||
| Jul 6, 2010 at 19:50 | vote | accept | Makhalan Duff | ||
| Jul 6, 2010 at 19:50 | |||||
| Jul 6, 2010 at 19:50 | vote | accept | Makhalan Duff | ||
| Jul 6, 2010 at 19:50 | |||||
| Jul 6, 2010 at 19:17 | history | answered | David E Speyer | CC BY-SA 2.5 |