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Does mixed $p$-adic Hodge theory exist? Can we extend the scope of comparison theorems using simplicial resolutions a la Deligne? Do we get 3 opposite filtrations as in classical mixed Hodge theory, or some other gadget?

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  • $\begingroup$ @schematic_boi: There are curently 4 rejected edit attempts (out of 4) of yours; this is your 5th attempt at playing with the tags of this question. Could you please stop doing this? $\endgroup$
    – Alex M.
    Commented May 21, 2019 at 17:05
  • $\begingroup$ @AlexM. but I genuinely thought that my edits were relevant. Somehow each time they are rejected. I really do not understand (I do not understand the message they give me). $\endgroup$
    – user138661
    Commented May 21, 2019 at 17:06
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    $\begingroup$ There's a weight filtration in rigid cohomology. $\endgroup$
    – user40276
    Commented May 24, 2019 at 19:15

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