Further remarks on local discriminants

Details Further remarks on local discriminants Further remarks on local discriminants

2009-09-14

arxiv.org/abs/0909.2541v2

Journal of the Ramanujan Mathematical Society {\bf 25} (2010) 4, 393--417

Mathematics

Number Theory

26 pages

Scientific paper

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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