Timeline for When the Leray spectral sequences for nice compactifications give the Deligne's weight ones?
Current License: CC BY-SA 4.0
4 events
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| Sep 9, 2021 at 12:14 | comment | added | Donu Arapura | Dan, perhaps you can turn your comment into an answer. | |
| Sep 9, 2021 at 7:34 | comment | added | Dan Petersen | In my paper "A spectral sequence for stratified spaces and configuration spaces of points" I construct a spectral sequence associated to this situation, which in many situations (but not always) coincides with the Leray spectral sequence. I'm quite sure that if the poset of all intersections of the $D_i$ is a Cohen-Macaulay poset, graded by codimension, then my spectral sequence coincides with the Leray spectral sequence and gives Deligne's weight filtration on cohomology. | |
| Sep 9, 2021 at 7:09 | comment | added | Donu Arapura | I suspect you may need to assume further that the $D_i$ meet transversally to get a good result of this type. Let me give it some thought. | |
| Sep 9, 2021 at 6:30 | history | asked | Mikhail Bondarko | CC BY-SA 4.0 |