Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593590 | Journal of Number Theory | 2015 | 17 Pages |
Abstract
Let K be a local field whose residue field has characteristic p and let L/K be a finite separable totally ramified extension of degree n=apν. The indices of inseparability i0,i1,â¦,iν of L/K were defined by Fried in the case char(K)=p and by Heiermann in the case char(K)=0; they give a refinement of the usual ramification data for L/K. The indices of inseparability can be used to construct “generalized Hasse-Herbrand functions” ÏL/Kj for 0â¤jâ¤Î½. In this paper we give an interpretation of the values ÏL/Kj(c) for nonnegative integers c. We use this interpretation to study the behavior of generalized Hasse-Herbrand functions in towers of field extensions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kevin Keating,