Timeline for what is Deligne's cohomological descent (and what are some examples)
Current License: CC BY-SA 3.0
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Mar 18, 2013 at 20:55 | vote | accept | Jacob Bell | ||
Mar 10, 2013 at 2:14 | history | edited | Donu Arapura | CC BY-SA 3.0 |
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Mar 10, 2013 at 1:21 | history | edited | Donu Arapura | CC BY-SA 3.0 |
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Mar 9, 2013 at 22:54 | comment | added | Jacob Bell | I see, thanks. If you have time to edit your answer and give an example of two resolutions being dominated by a third (and how base change fits in) that would be great. Anyway, before accepting I'll wait in case someone else wants to chip in. | |
Mar 9, 2013 at 22:38 | comment | added | Donu Arapura | Right, the MHS is independent of the choice. The idea is that any two simplicial resolutions are dominated by a third, so the resulting MHS's are comparable... | |
Mar 9, 2013 at 22:30 | comment | added | Jacob Bell | thanks for the answer! may I ask what happens if I change the simplicial resolution? (I assume that the end-result of the MHS does not depend on a choice, no?) I always heard that the proper base change theorem plays a key role, but I don't explicitly see why. | |
Mar 9, 2013 at 22:25 | history | answered | Donu Arapura | CC BY-SA 3.0 |