Timeline for Topology on $p$-adic period ring in an article by Fontaine
Current License: CC BY-SA 4.0
6 events
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| Sep 6, 2019 at 15:16 | comment | added | DCM | Thanks nonetheless. It seems to me as if the two topologies are not the same, and yet, Fontaine uses the "inductive limit topology " for constructing $B_{DR},$ while Brinon-Conrad uses the topology in the question I linked. So probably I am making a very trivial mistake, but these things seem to be quite subtle. | |
| Sep 6, 2019 at 14:03 | comment | added | Filippo Alberto Edoardo | I have corrected the $[1/p^n]$ into $p^{-n}$, you are right. As for your other question, I've seen it but for the time being I don't really have an answer. | |
| Sep 6, 2019 at 14:02 | history | edited | Filippo Alberto Edoardo | CC BY-SA 4.0 |
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| Sep 6, 2019 at 10:34 | comment | added | DCM | Also, do you mean $p^{-n}W(k),$ or do you mean $W(k)[1/p^n]$ above? If the first, I do not see how the $U_{N, \mathfrak{a}}$ that Brinon and Conrad (see the link in the question I linked to) define can be contained in a product of neighborhoods as above... | |
| Sep 6, 2019 at 10:12 | comment | added | DCM | Thank you for the reference. I posted a follow-up mathoverflow.net/questions/339967/… where I tried to compare two topologies which should be ”the same”, but I am not sure what to make of this. If you had the time, I would be most grateful if you looked into it since this has been bugging me for some time. | |
| Sep 6, 2019 at 8:45 | history | answered | Filippo Alberto Edoardo | CC BY-SA 4.0 |