Fiercely ramified cyclic extensions of p-adic fields with imperfect residue field

Details Fiercely ramified cyclic extensions of p-adic fields with imperfect residue field Fiercely ramified cyclic extensions of p-adic fields with imperfect residue field

2011-04-19

arxiv.org/abs/1104.3785v1

Mathematics

Number Theory

27 pages

Scientific paper

We study the ramification of fierce cyclic Galois extensions of a local field $K$ of characteristic zero with a one-dimensional residue field of characteristic $p>0$. Using Kato's theory of the refined Swan conductor, we associate to such an extension a {\em ramification datum}, consisting of a sequence of pairs $(\delta_i,\omega_i)$, where $\delta_i$ is a positive rational number and $\omega_i$ a differential form on the residue field of $K$. Our main result gives necessary and sufficient conditions on such sequences to occur as a ramification datum of a fierce cyclic extension of $K$.

Affiliated with

Also associated with

No associations

Rating

Fiercely ramified cyclic extensions of p-adic fields with imperfect residue field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fiercely ramified cyclic extensions of p-adic fields with imperfect residue field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fiercely ramified cyclic extensions of p-adic fields with imperfect residue field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183453