Timeline for Is a fibration in algebraic geometry a fibre bundle?
Current License: CC BY-SA 2.5
11 events
when toggle format | what | by | license | comment | |
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Jan 4, 2013 at 6:18 | vote | accept | Arnav Tripathy | ||
Jan 16, 2011 at 19:38 | vote | accept | Arnav Tripathy | ||
Jan 16, 2011 at 19:38 | |||||
Jan 16, 2011 at 19:37 | vote | accept | Arnav Tripathy | ||
Jan 16, 2011 at 19:38 | |||||
Jan 16, 2011 at 13:56 | comment | added | Arnav Tripathy | Thanks for your answer! Yes, I was fairly sure asking the moduli to simply collapse after an etale base change would be quite nonsense, but that was really just the only example I knew of to indicate what an algebro-geometric fibre bundle might be like; I am interested in whether there is any possible weaker algebro-geometric statement along those lines. | |
Jan 16, 2011 at 1:42 | comment | added | Ben Webster♦ | @Mariano- That's a question above my pay grade. | |
Jan 16, 2011 at 1:18 | comment | added | Mariano Suárez-Álvarez | @unknowngoogle: that works for proper maps, but the simplest example I know of a manifold with many smooth structures is $\mathbb R^4$ and if that's what the fibers are made of, then the family will not be proper. | |
Jan 16, 2011 at 1:12 | comment | added | Qfwfq | @Mariano: i'd say just NO by Ehresmann's theorem.. Am I missing something? | |
Jan 16, 2011 at 1:11 | history | edited | Qfwfq | CC BY-SA 2.5 |
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Jan 16, 2011 at 1:03 | comment | added | Mariano Suárez-Álvarez | Do smooth structures (on $4$-dimensional manifolds, say) exist if families? | |
Jan 16, 2011 at 0:51 | history | edited | Ben Webster♦ | CC BY-SA 2.5 |
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Jan 15, 2011 at 23:49 | history | answered | Ben Webster♦ | CC BY-SA 2.5 |