Abstract:
The paper is devoted to some properites of ramification invariants in infinite abelian extensions of exponent $p$ for a class of complete discrete valuation fields that includes $2$-dimensional local fields of prime characteristic $p$. In particular, it is proved that the maximal such extension with prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.
Key words and phrases:complete discrete valuation field, imperfect residue field, two-dimensional local field, ramification.