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Timeline for direct image functor

Current License: CC BY-SA 2.5

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Dec 10, 2010 at 3:42 vote accept john
Dec 9, 2010 at 17:19 answer added Sándor Kovács timeline score: 3
Dec 9, 2010 at 17:06 answer added Torsten Ekedahl timeline score: 3
Dec 9, 2010 at 16:33 comment added J.C. Ottem Take $f$ to be a constant map, then the sequence is not exact.
Dec 9, 2010 at 16:20 comment added Francesco Polizzi @Martin: the counterexample is not too difficult. I wrote it as an answer, in order to be clearer...
Dec 9, 2010 at 16:15 answer added Francesco Polizzi timeline score: 3
Dec 9, 2010 at 15:49 comment added Martin Brandenburg @Francesco: Higher direct images does not have to vanish in general, but john has added some asssumptions. But perhaps this just makes it harder to find counterexamples.
Dec 9, 2010 at 15:35 comment added Francesco Polizzi No. You should learn about derived functors, in particular $R^if_*$. Hartshorne's book is a good place to start.
Dec 9, 2010 at 15:28 history asked john CC BY-SA 2.5