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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