Timeline for Algebraic vs analytic de Rham cohomology
Current License: CC BY-SA 3.0
3 events
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| Apr 2, 2018 at 14:05 | comment | added | D.-C. Cisinski | Since you are asking of a property of complexes of sheaves, the question is of purely local nature. In fact your question is equivalent to the question if algebraic de Rham cohomology coincides with analytic de Rham cohomology for smooth schemes, which is a theorem of Grothendieck if you work over a field embedded in C. | |
| Apr 2, 2018 at 2:01 | comment | added | Joe Berner | You're being a bit imprecise about whether you want the whole de Rham complex or its pieces, but I think both should follow by Serre's GAGA plus coherence of higher direct images. | |
| Apr 2, 2018 at 1:11 | history | asked | user92332 | CC BY-SA 3.0 |