Timeline for On Serre's "Local fields"
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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Jan 12, 2021 at 11:56 | comment | added | A.G | The original french version is correct. | |
Dec 28, 2020 at 21:30 | comment | added | LSpice | So, just to have it written: yes, what Serre writes is wrong, or, more likely, it is a misprint. For what it's worth, Tits also uses $\overline K$ for the residue field (at least in the Corvallis article). | |
Dec 28, 2020 at 20:33 | comment | added | reuns | $O_L \otimes_{O_K} P_K^n/P_K^{n+1}\cong O_L/P_K O_L \otimes_{O_K/P_K} P_K^n/P_K^{n+1}=\overline{L}\otimes_{\overline{K}} P_K^n/P_K^{n+1}$ (nobody uses this notation for the residue field) | |
Dec 28, 2020 at 20:27 | comment | added | rime | Thank you, this is absolutely true, but then what Serre writes Is wrong, am I right? | |
Dec 28, 2020 at 19:39 | history | edited | YCor | CC BY-SA 4.0 |
formatting
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Dec 28, 2020 at 18:49 | comment | added | reuns | $O_L \otimes_{O_K} P_K^n/P_K^{n+1} \cong O_L P_K^n/O_L P_K^{n+1}=P_L^n/P_L^{n+1}$. | |
Dec 28, 2020 at 18:24 | history | edited | Denis Serre | CC BY-SA 4.0 |
added 6 characters in body
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Dec 28, 2020 at 18:09 | history | asked | rime | CC BY-SA 4.0 |