Isaac Newton Institute for Mathematical Sciences

Dense subfields of henselian fields, integer parts, and nasty valuations on rational function fields.

16th June 2005

Author: Kuhlmann, F-V (Saskatchewan)

Abstract

We show that every henselian field of residue characteristic 0 admits a dense subfield. Certain special cases allow subfields with very interesting additional properties. We also discuss the existence and size of integer parts and of complements to valuation rings.