Timeline for Hodge modules and Deligne-Beilinson cohomology of function fields
Current License: CC BY-SA 4.0
6 events
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May 12, 2021 at 11:05 | comment | added | Z. M | I did not claim that I see the precise link. I would like to replace the Deligne-Beilinson by de Rham because it is simpler (which could be understood as an "enriched" version of de Rham). What it seems to me is that, by taking filtered colimit of "models" (I don't know whatever it is), the result for de Rham cohomology might be very similar to Hodge-completed derived de Rham cohomology, and in that sense, Beilinson's isomorphism seems related. | |
May 11, 2021 at 19:06 | comment | added | Mikhail Bondarko | Why?:) Do you have any references or explanations for this association? | |
May 10, 2021 at 14:19 | comment | added | Z. M | What if you replace Deligne-Beilinson cohomology by de Rham cohomology? Apparently, this looks a bit like Beilinson's isomorphism $B_{\operatorname{dR}}^+\simeq\widehat{\operatorname{dR}}_{\overline{\mathbb Q_p}/\mathbb Q_p}$. | |
May 10, 2021 at 11:32 | history | edited | Mikhail Bondarko | CC BY-SA 4.0 |
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Jul 28, 2014 at 17:09 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
added 144 characters in body; edited tags
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Jul 27, 2014 at 7:39 | history | asked | Mikhail Bondarko | CC BY-SA 3.0 |