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Oct 5, 2014 at 11:15 comment added YCor (line 3: "$u\in$" should be "$U\in$"; I'll edit later)
Oct 4, 2014 at 20:53 comment added YCor The argument would extend to characteristic $p$ if it were true that for all $x\in tk[[t]]\smallsetminus\{0\}$, the extension $k((x))\subset k((t))$ is finite. I don't know in general (it's true if $x$ has valuation $<p$, or if $x\in k[t]$).
Oct 4, 2014 at 19:51 history edited YCor CC BY-SA 3.0
removed $c_i$, possible up to replace $P_i$ by $c_iP_i$
Oct 4, 2014 at 19:09 history answered YCor CC BY-SA 3.0