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Oct 27, 2010 at 22:30 comment added Terry Tao OK, I've reworded the answer to only claim the characteristic zero case, then, rather than the perfect case.
Oct 27, 2010 at 22:30 history edited Terry Tao CC BY-SA 2.5
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Oct 27, 2010 at 21:45 comment added Qing Liu Yes this is basically the same idea in different langages. Just a remark: if $c$ is considered as a variable, then $k(c)$ is not perfect even when $k$ is perfect because $k(c^{1/p})$ is always inseparable over $k(c)$.
Oct 27, 2010 at 18:31 history edited Terry Tao CC BY-SA 2.5
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Oct 27, 2010 at 18:24 history answered Terry Tao CC BY-SA 2.5