Further remarks on local discriminants

Abstract

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

26 pages

References in corpus (2)

• Local discriminants, kummerian extensions, and elliptic curves
• Absolute norms of p-primary units

Cited by in corpus (10)

• Serre's "formule de masse" in prime degree
• Tame ramification and group cohomology
• Final remarks on local discriminants
• Little galoisian modules
• L-packets and depth for SL_2(K) with K a local function field of characteristic 2
• Reciprocity and orthogonality
• Primary units in cyclotomic fields
• On depth in the local Langlands correspondence for tori
• Note on the non-preservation of depth
• On $L$-packets and depth for $S{L}_2(K)$ and its inner form