Abstract:
The paper is devoted to ramification theory for a class of complete discrete valuation fields that includes $2$-dimensional local fields of prime characteristic $p$. It is proved that any finite extension of such a field can be modified into an extension with zero ramification depth by means of an infinite elementary abelian base change.
Key words and phrases:complete discrete valuation field, imperfect residue field, $2$-dimensional local field, ramification, conductor.