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December 1st, 2014, 10:06 AM  #1 
Newbie Joined: Dec 2014 From: iran Posts: 4 Thanks: 0  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 $Q^{2}_{2}$ . Last edited by zarei175; December 1st, 2014 at 10:17 AM. 
December 1st, 2014, 10:37 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
Well, every finite field has positive characteristic, so pick the prime power of your choice.

December 1st, 2014, 11:42 AM  #3 
Newbie Joined: Dec 2014 From: iran Posts: 4 Thanks: 0 
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. 
December 1st, 2014, 12:33 PM  #4 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
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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characteristic, field, local, positive 
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