Timeline for Kunneth formula for sheaf cohomology of varieties
Current License: CC BY-SA 2.5
9 events
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| Apr 11, 2013 at 1:44 | comment | added | Sándor Kovács | Charles, I know this is settled now, but I think Thm. 6.7.8 in EGA III$_2$ would be a better and slightly less intimidating reference for this. | |
| Mar 23, 2011 at 22:38 | answer | added | bavajee | timeline score: 20 | |
| Aug 5, 2010 at 21:24 | comment | added | Charles Staats | Thanks! The more I looked at that part of EGA, the worse it looked. | |
| Aug 5, 2010 at 21:22 | vote | accept | Charles Staats | ||
| Aug 5, 2010 at 20:35 | comment | added | BCnrd | Use Cech covering of $X \times Y$ built from finite open affine covers of $X$ and $Y$, together with elementary stuff on homology of tensor product of bnded complexes over a field & that can compute sheaf cohom. cup products using pairings of resolutions (explained in Godemenet's book; EGA says where Godement relates cup product to Cech theory); surely you want isom. to be def'd by cup product! Using a touch of homological alg. with Tor, get same over any ring if assume qcoh sheaves & cohomologies of factors are flat. Better to work it out for yourself than to waste time with that part of EGA. | |
| Aug 5, 2010 at 20:31 | answer | added | Angelo | timeline score: 31 | |
| Aug 5, 2010 at 19:30 | comment | added | Tony Scholl | A couple of pages further on in EGA III.2 is Theorem 6.7.8 which is exactly the kind of thing you are looking for, I imagine. | |
| Aug 5, 2010 at 19:23 | history | edited | Charles Staats |
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| Aug 5, 2010 at 19:03 | history | asked | Charles Staats | CC BY-SA 2.5 |