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May 11, 2023 at 10:47 answer added Joana timeline score: 5
Apr 16, 2023 at 19:40 comment added Dan Petersen One more remark: one of the most useful properties of the weight filtration in mixed Hodge theory is that maps of varieties induce strict morphisms with respect to the weight filtrations. I believe that this fails for the integral weight filtrations constructed by Gillet-Soule. As for putting a weight filtration on ordinary cohomology, I don't know what to expect.
Apr 16, 2023 at 19:37 comment added Dan Petersen Although she also only talks about cohomology with compact support, you may be interested in the following paper of my student Josefien Kuijper: arxiv.org/abs/2204.08968
Apr 16, 2023 at 19:34 comment added Dan Petersen The final paragraph of the Cirici-Guillen paper starts with: "The results of this paper are based on a non-published manuscript by the second named author together with V. Navarro-Aznar." Presumably, this manuscript is what Gillet-Soule had in mind.
Apr 16, 2023 at 16:25 history asked Piotr Pstrągowski CC BY-SA 4.0