Timeline for Does there exist a discrete valuation subring $R$ of $K((t))$ ($K$ a number field) of residue characteristic $p$ with $\mathrm{Frac}(R) = K((t))$?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jul 13, 2019 at 1:12 | history | edited | Fan Zheng | CC BY-SA 4.0 |
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| Feb 7, 2019 at 18:35 | vote | accept | Will Chen | ||
| Feb 7, 2019 at 17:54 | comment | added | YCor | Just for exposition, the middle argument simplifies as follows: $v(1+at)=0$ for all $a\in K$; assuming by contradiction $v_0\neq 0$ and choosing $a$ with $v_0(a)<-v(t)$, we have $v(at)<0$ while $v(1+at)=v(1)=0$, contradicting the ultrametric axiom on $v$. So $v_0=0$. | |
| Feb 7, 2019 at 16:31 | history | answered | Will Sawin | CC BY-SA 4.0 |