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arXiv · 0909.2541

Further remarks on local discriminants

Chandan Singh Dalawat
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Abstract

Using Kummer theory for a finite extension K of \Qp(\zeta)(where p is a prime number and \zeta 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 \Fp((\pi)) and derive similar results for their elementary abelian p-extensions.

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Chandan Singh Dalawat. 2009-09-14. Further remarks on local discriminants. https://arxiv.org/abs/0909.2541

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