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December 1st, 2014, 10:06 AM   #1
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Example of a local field of positive characteristic?

I am looking for a local field of positive characteristic, like $Q^{2}_{2}$ was used in this article:

in fact, i need an another Example of a local field of positive characteristic like $Q^{2}_{2}$ .

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December 1st, 2014, 10:37 AM   #2
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Well, every finite field has positive characteristic, so pick the prime power of your choice.
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December 1st, 2014, 11:42 AM   #3
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Do you mean that $Q_{p}$ (p is prime.) is a local field of positive characteristic?
but, as far as I know, characteristic of $Q_{p}$ is 0.
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December 1st, 2014, 12:33 PM   #4
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I don't know what Q_p means in your terminology.

If you look at
https://en.wikipedia.org/wiki/Local_field
it gives the field of Laurent series over a given finite field as an example of a local field of nonzero characteristic.
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