Further remarks on local discriminants
Abstract
Using Kummer theory for a finite extension K of (ζ)(where p is a prime number and ζ a primitive p-th root of~1), we compute the ramification filtration and the discriminant of an arbitrary elementary abelian p-extension of K. We also develop the analogous Artin-Schreier theory for finite extensions of ((π)) and derive similar results for their elementary abelian p-extensions.
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