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Timeline for Geometry of syntomic cohomology

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Feb 1 at 20:23 comment added Oli Gregory Note that I was purposefully rather vague in my question. For example, I didn't specify which "flavour" of syntomic cohomology I mean. I would guess that Besser's rigid syntomic approach might be most likely to have a description somewhat similar to the interpretations of Deligne cohomology in my question, but I don't know.
Feb 1 at 20:19 comment added Oli Gregory @MarsaultChabat Certainly. Indeed there are many reasons to say that syntomic cohomology is a $p$-adic analogue of Deligne cohomology. But that is not my question.
Feb 1 at 14:46 comment added Marsault Chabat This is something I've read in the introduction of this paper webusers.imj-prg.fr/~jan.nekovar/pu/syn.pdf
Feb 1 at 14:45 comment added Marsault Chabat I'm not an expert but this may help you. As far as I know, when we say that syntomic cohomology is a p-adic analogue of Deligne cohomology, we are saying (at least in particular) that syntomic cohomology and p-adic Abel-Jacoby share the same relations as we can observe between the Deligne cohomology and the Abel-Jacoby map.
Nov 14, 2023 at 21:27 history edited Oli Gregory CC BY-SA 4.0
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Nov 14, 2023 at 20:38 history asked Oli Gregory CC BY-SA 4.0